The tuned mass damper is one of the classic dynamic vibration absorbers with effective devices for energy dissipation and vibration reduction. The parameters of DVAs should be optimally tuned to obtain the best sound and vibration suppression application effects. File Size 15. It can transform the resonance of. The vibrating screen with statically indeterminate mesh beam structure (VSSIMBS) is a novel type of large vibrating screen, which is widely used in coal preparation plants due to its high strength and processing capacity. One of the important methods to prevent the intensification of the main vibration system is using a dynamic vibration absorber (DVA). TEMPERATURE SENSORS Temperature Sensors Measure temperature or temperature and vibration. Apart from this, we are considered as one of the chief Digital Vibration Control System Manufacturers in India. Dynamic vibration system 1IV. APS Dynamics We are specialized in designing, manufacturing and marketing vibration systems for modal test excitation, low frequency calibration, and component test. The objective of the paper is to characterize. To learn more about this feature, go to Settings > Sound > Dynamic Vibration. In therapeutic settings, understanding the dynamics and relationships within a family system is crucial for effective treatment. Japan, established in 1975 manufacturers electro dynamic vibration test systems from 1KgF to 20,000 KgF and more force ratings including uni-axial, bi-axial, tri-axial type systems and combined climatic and vibration test systems. The device also has stereo speakers and audio features like Dolby Atmos and Sony&x27;s Dynamic Vibration System to improve gaming experiences. Dynamics Vibration Testing. Based on the principle of dynamic vibration absorption, a quasi-zero stiffness (QZS) vibration isolation system for coupled a linear dynamic vibration absorber was designed. Hey guys, after consecutive sleepless nights porting, testing and perfecting, me - sirdoha would like to introduce the most comprehensive port of the Sony Sound System,. Different types of system and different types of vibration responses are also dealt. In order to solve the problems of insufficient frequency-multiplying synchronous theory and low synchronization precision of the multiple exciters in vibration systems, the dynamic model of the frequency-multiplying synchronous vibration system with multi. TalkBack is the Google screen reader that gives spoken feedback for what you tap, select and activate on the screen, so that you can use your device without looking at it. The dynamic vibration absorber was invented in 1909 by Hermann Frahm (US Patent 989958, issued in 1911), and since then it has been successfully used to suppress wind-induced vibration and seismic response in buildings. This work studies the feasibility of using vibration absorber for harvesting energy under random excitation and in presence of parametric uncertainties. Dynamic Systems is a new physics-based puzzle game. Methods In the present investigation, an IDVA is applied to a randomly excited nonlinear system which is of concern. 1 (20501) Update on 2021-04-24. For farmers, ranchers, and investors alike, understanding these factors can be crucial in making informed. Electrodynamic LDS (Ling Dynamic Systems) Shakers delivering a force rating supporting a wide range of payloads. Dynamic vibration absorbers (DVA) are widely used for the control of structural vibration and noise radiation owing to their simplicity, effectiveness, and inherent stability characteristics. mediavibration - Sony Mobile Communications - Free - Mobile App for Android. (Ads supported. The dynamic vibration system model was established to study the VSSIMBS motion law, as shown in Fig. 6 mm is. 36 And a dynamic anti-resonance vibration isolator was designed, which amplified the inertial force generated by the mass to offset the spring force to achieve anti-resonance. The optimum frequency ratio is obtained based on. This book is an essential guide to nonlinear dynamics and vibration control, detailing both the theory and the practical industrial applications within all aspects of engineering. The modified system has two resonance frequencies. This paper presents a double-mass dynamic vibration absorber (DVA) that rapidly reduces the motion of the object to be damped (main system) and converts it to the motion of the DVA. As a result, it is necessary to take into account time-dependent structural characteristics, such as resonance frequencies and inertia to correctly calculate the response. Rao A. The schematic diagram of an MDOF DVA is shown in Fig. In the design optimization of MDVA system, the optimal parameters may include the damping ratio, tuning parameter, frequency band-width, and number of DVAs. before use to press the external start switch, appears COO namely lets go, opens the key. (Ads supported. Split into segments, use dynamic translucency. Dynamic vibration absorbers (DVA) are widely used for the control of structural vibration and noise radiation owing to their simplicity, effectiveness, and inherent stability characteristics. In addition to the theory sections and the tutorial sheets provided after each chapter, software called DAMA, Dynamic Analysis for Mechanical Application, in which simulations of mechanisms and vibrating systems are implemented, is provided via a website. 200 PM UFIFAS Extension Let&x27;s Make Some Black Gold. 3 (and in particular equation 9. It can transform the resonance of. Two flux paths sum at the voice coil location, reducing flux leakage near the DUT. However, when damping is present at the primary system, there are very few studies on the design of non-traditional dynamic vibration absorber. Electrodynamic Vibration Shaker By Environment Equipments Get latest price We are strictly adhere to the guidelines laid by the international standards industry in order to provide high quality Electrodynamic Vibration Shaker. 0 star 76 reviews 1K Downloads Everyone info Install About this app arrowforward Vibration Sensor is your go-to app for measuring vibrations in your surroundings. An active vibration isolator for cameras is designed, employing a dual-loop control strategy with position compensation and. I don't like the visual changes in the android 13, but DVS now works much better Related Topics. The LDS Shakers are well-suited for vibration testing products and structures from small components and hardware to very large devices and structures, such as satellite systems or airplane parts. 5m loading table To advance industry in North America Professional Vibration Testing Solutions Spacious Operation Area DVT occupies 79,000 sqft, of which 41,500 sqft comprises the testing lab while the remaining 37,500 sqft is used for storage. Specialized vibration fixture designs permit the fixture to be rotated for testing in the X, Y, and Z axis. Dynamics Vibration Testing. It was found that when the same vibration isolation effect was obtained, the mass with an. for testing small to large payloads. The membrane-type air spring can be used to suppress lateral vibration of a vibration isolation table. 1 Vibration of Masses on a Stretched String. Dynamic and vibration analysis differs from other structural analysis because the loading is changing with time. To evaluate the effectiveness of the TMDI, the simplified model of TMDI coupled with a single-degree-of-freedom (SDOF) structure has been established. There are a lot that come with the system. The installation parameters of each piece of equipment to realise the multi-mode vibration control of a car body based on the dynamic vibration absorption theory. The user set the time of vibration or simply activate it for an indefinite period of time. MB Dynamics product technology offerings include excitation and motion test hardware, control system and data acquisition software, instrumentation, fixtures, and other equipment, as required to complete noise and vibration testing jobs. (Ads supported. REGISTERED NURSE 40 DE - MSE - Middleboro. Even modest levels of vibration can cause extreme discomfort; Vibrations generally lead to a loss of precision in controlling machinery. Our product range of vibration testing equipment, industrial testing equipment, electrodynamic testing equipment, etc. VibVue is Just One of Many MSI Tools. Contact phone 217-679-4280 Fax 217-679-4238. When dynamic vibration absorber is. Thecontemporary technical problems are lashed with high work demands such as. xi, 562 p. vibration, and more Whenever Apple releases a new version of Dynamic Island, this application will be promptly updated with the new features. Mokhtar M. The dynamic vibration absorption technique is based on the principle of anti-resonance. Jobs at McLean Hospital Registered Nurse positions. Dynamic Vibration 1. This optimization problem is widely investigated using the fixed-point method, which, however, works only when the primary structure is undamped. or call toll-free 877-767-7077 (in U. , comprises of electro-dynamic vibration shaker system, combined vibration with environmental chamber, digital vibration controller, horizontal slip table, vibration fixtures as per JSS 55555, IS, MIL 810 std. Aug 10, 2017 Vibrations is an app for measuring mechanical vibrations and acoustic noise from engines, the environment, machines, and other equipment. Three-dimensional particle kinematics. Isolation resonances can often create other vibration problems. An accelerometer is a small electro-mechanical device that gives an electrical signal proportional to its acceleration. We are an ISO 90012000 certified organization. We have over 50 years of experience in the vibration test industry, and we are committed to delivering reliable and cost-effective solutions to our customers. About this app. (Ads supported. APS Dynamics We are specialized in designing, manufacturing and marketing vibration systems for modal test excitation, low frequency calibration, and component test. Purdue researchers delve into every aspect of this fundamental area, from the macroscale to the microscale. Next up is software magic it analyzes. When the frequency of the excitation force in a system approximately equals to its natural frequency, the vibration amplitude of the system reaches a great value. In this paper, a nonlinear two degrees of freedom (DOF) model is developed. Generated Force Rating 6000 Lb Force Sine. 25 from the primary mass. Download Download high-res image (303KB) Download Download full-size image; Fig. eBook ISBN 978-3-031-16356-2 Published 06 January 2023. Sample Resist (with low ticks) This page covers the examples of how to use different haptics APIs to create custom effects in an Android application. Buscar Men&250; principal. Access-restricted-item true Addeddate 2022-11-16 140630 Associated-names Papouek, D. Brief reviews of basic principles and laws of dynamics which are used. Apart from this, we are considered as one of the chief Digital Vibration Control System Manufacturers in India. 0 - Updated 2022 - com. pdf), Text File (. Dynamics Vibration Testing, LLC (DVT) provides a wide spectrum of dynamics, vibration, and fatigue testing services that enable us to serve clients across a variety of business types, including. Dynamic vibration system 1IV. The device also has stereo speakers and audio features like Dolby Atmos and Sony&x27;s Dynamic Vibration System to improve gaming experiences. In cutting process, the insufficiency in grasp of the tool vibration characteristics of spindle system seriously hinders the improvement of machining quality and efficiency. Our calibration solutions meet the broad variety of needs for calibration in the field of sound and vibration. Other features include IP6568 water resistance, Dynamic Vibration, Game Enhancer, Bluetooth 5. It is shown that for increasing absorber mass, the new eigenfrequencies cannot shift further than the neighboring antiresonances due to interlacing properties. , InCheck Technologies Inc. It is shown that for increasing absorber mass, the new eigenfrequencies cannot shift further than the neighboring antiresonances due to interlacing properties. Our researchers to tackle both applied and fundamental problems in linear and nonlinear dynamics. The results show that the change in dynamic characteristics of an ultrasonic vibration system has a large influence on the finished machining quality of the gear. About this app. 3 KIP ITS-600-ST Vibration Test System with Slip Table ITS-600-ST. This type of equipment is used for discovering the early faults, simulating the actual working condition and the structure strength test, the product. For the present problem Substituting numbers into the expression for the vibration amplitude shows that. The effectiveness of the self-sensing method is validated by both simulation and experiment. DYNAMIC VIBRATION SYSTEMS LIMITED is a Private limited company (Ltd. Dynamics Vibration Testing, LLC provides professional testing service, including vibration testing, battery testing and environmental testing. 1 (20501) Update on 2021-04-24. , comprises of electro-dynamic vibration shaker system, combined. Dynamics and Vibration (13. Within this application, any vibration and vibration measurements and analysis system identification may be performed (e. Isolation resonances can often create other vibration problems. For rotorbearing systems, their dynamic vibration models must be built to simulate the vibration responses that affect the safe and reliable operation of rotating machinery under different operating conditions. To learn more about this feature, go to Settings > Sound > Dynamic Vibration. Design engineers find themselves confronted with. Thus, in this study, a compact, low-dynamic, and high-static stiffness vibration isolation system has been designed. We are an ISO 90012000 certified organization. For farmers, ranchers, and investors alike, understanding these factors can be crucial in making informed. Vibration Monitoring during Shaker Tests. Dear Colleagues, Noise and vibration are common problems in dynamic systems. As such, it is important to keep them in good condition. Topics Vibration, Dynamical Systems, Control, Mechanical Engineering, Solid Mechanics, Classical Mechanics, Mechanical Engineering. (a) Power spectra of design crosswind forces for the case-study building in Figure 3(a), based on the model by Liang et al. Our engineers understand proper placement of accelerometers. See more uploads. Crystal Instruments Spider vibration c. Because of its simplicity, reliability and efficiency, the DVA is widely used to reduce the noise and vibration of rail vehicles, aircraft cabins and many other structures. Three-dimensional particle kinematics. , determination of frequency and damping). Dynamo was a breakthrough at the time and foreshadowed a number of numerical modeling approaches and non-procedural programming languages. The natural frequency of. I don't understand the hate for dynamic vibration. Access-restricted-item true Addeddate 2022-11-16 140630 Associated-names Papouek, D. Perfectly designed and strongly constructed, our Vibration Shaker System can also be modified as per the specific demand of the buyers. Step 2 Working with the activitymain. or call toll-free 877-767-7077 (in U. A cubic nonlinearity induced by a gap is considered. From monitoring the vibration of an automobile seat to visualizing the movement of lithium ions on the nanoscale, these Dynamics researchers can do it all. (a) Undamped dynamic vibration absorber (b) Effect of undamped vibration absorber on the response of machine. Dynamic vibration system 1IV. (Ads supported. Electro-Dynamic Vibration Systems Ms Shinken Co. Of course it does play out of sync for talking videos or movies or any other typical songs most of the times. and water cooled to 40,000 lbf. E-Series Designed for testing medium, large and extra-large electronic or mechanical components. Boston Dynamics is known for their astounding videos of robots. Purpose In response to the difficulty of dynamic vibration absorber (DVA) to realize the broadband vibration reduction of large marine mechanical equipment, an air spring dynamic vibration absorber (ASDVA) was proposed, then its damping and vibration absorption performance were studied. Mechanical noise is generated by the vibration of the hull excited by the mechanical system. Electro Dynamic Vibration Shaker System Description We share glorious credentials for manufacturing and supplying Electro Dynamic Vibration Shaker System throughout the Indian market. Microsoft&x27;s next version of Windows, Windows 11, is fast approaching, and the company has already put out a ton of detail about the latest version of its OS. xi, 562 p. Rao A. And when you&x27;re watching a movie (say) on Netflix, the rumble of thunder, explosions, car engines, and more, all come through via the haptic vibration system. Roll control mechanisms. All vibration test systems supported by Regional Service Centre Network. (Ads supported. It has been found that in the case of. Vibration Monitoring during Shaker Tests. The lever was introduced into the vibration isolation system by Flannelly. Sony Information & communications. A new type of dynamic vibration absorber (DVA) with negative stiffness is studied in detail. This chapter is concerned with the &92; (H&92;infty &92;) and &92; (H2&92;) optimization problem for inerter-based dynamic vibration absorbers (IDVAs). Our product range of vibration testing equipment, industrial testing equipment, electrodynamic testing equipment, etc. View stored data Review data with Live Analyzer. The schematic diagram of an MDOF DVA is shown in Fig. and water cooled to 40,000 lbf. Description We share glorious credentials for manufacturing and supplying Electro Dynamic Vibration Shaker System throughout the Indian market. APK with the system photo picker activity. The basic steps of the vibration analysis procedure are explained. With the wide use of variable frequency drives in the pump industry and increasing unit size, it is becoming more difficult to design mechanical systems free from natural frequencies. How is Dynamic Vibration controlled As the video embedded above shows, within a video, a press on the volume buttons brings up the usual volume slider, but also a Dynamic Vibration slider, with four settings (zero to 3), and it&39;s easy enough to adjust the strength (or turn it off) from here. Dynamic Vibration 1. The vibration fixture should also transmit a uniform dis-tribution of energy from the arma-ture to the test item. 9 MB. The dynamics of a vibration machines model in the form of a vibroimpact three-mass system with one shock pair, which oscillations are excited by two non-ideal inertial vibration exciters, is. APKPure Android Android Auto 8. In this paper an experimental prototype of a novel inertial amplifier, namely the Dynamic Directional Amplification mechanism (DDA), is developed and its dynamic response is subsequently evaluated. Generally, engineers try to avoid vibrations, because vibrations have a number of unpleasant effects Cyclic motion implies cyclic forces. Number of Pages XIX, 890. To achieve the optimal vibration reduction effect, the sensitive parameters of the VDP-NES system are investigated and its vibration reduction mechanism is revealed. Shaker Displacement 1. Use it for anything you want, like a massage. System Dynamics (SD) combines theory, methods and philosophy to explain system behaviour in a wide range of disciplines such as business management, politics, economics, engineering, environmental change, medicine and other fields. adult maanga, hot boy sex
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The Structural vibration analysis service includes both Operational deflection shape (ODS) analysis and modal analysis. system of Figure 2. Japan, established in 1975 manufacturers electro dynamic vibration test systems from 1KgF to 20,000 KgF and more force ratings including uni-axial, bi-axial, tri-axial type systems and combined climatic and vibration test systems. In this reviewers opinion, the most beneficial aspect is the interdisciplinary approach, common in control engineering. In this sense, a heuristic criterion for the optimization problem will be developed to contemplate this particular type of DVA. For farmers, ranchers, and investors alike, understanding these factors can be crucial in making informed. Fighter Aircraft Pilot is a super realistic flight simulator game in which you get the opportunity to pilot one of the most famous aircraft to ever grace the skies. This book is concerned with the subjects of vibrations and system dynamics on an integrated basis. (see Appendix A), (b) root mean square 14 th floor acceleration of the case-study building in Figure 3(a) for optimally sized WLSSs with different f 1 frequencies versus ISO6897 occupant comfort threshold, and (c) self-weight of the optimally sized WLSSs versus f 1. 11 sept 2022. However, although many studies have focused on dynamics of NES, few have addressed the optimal design method of NES, especially for the non-smooth NES (NSNES). Intuitive, flexible and powerful, VibrationVIEW is Vibration Research&x27;s proprietary software that is used in conjunction with the VR9500 controller to set up and monitor vibration tests and to perform automatic as well as custom reporting. Interestingly, the system doesn&39;t work with every. TEL 1 216 292 5850 FAX 1 216 292 5614. File Size 15. vrmobile - Vibration Research Corporation - vibrationresearch. Step 1. Dynamic vibration system 1IV. The optimum frequency ratio is obtained based on. To overcome these limitations, multiple dynamic vibration absorbers (MDVA) system has been proposed and optimization for parameters of MDVA has attracted many researchers. ) company based in 1ST FL 215, SQUIRES LANE 1ST FL 215, United Kingdom, which employs 1 people. Vibration Control System Controlled Excitation of APS ELECTRO-SEIS Long Stroke Shakers In addition to exciters and amplifiers, APS Dynamics offers vibration control systems that allow flexible setups for a broad range of vibration testing applications Please have a look on the following pages for further information Vibration exciter. Acceleration is the Time rate of change of velocity. the vibration of m 1 at a particular forcing frequency, and is known as the prin ciple of the vibration absorber to be discussed in next section. Force-momentum formulation for systems of particles and for rigid bodies (direct method). Our Triaxial Wireless Accelerometer is a vibration sensor specially designed for vibration analysis with universal compatibility in mind. Our controller has the capability to interface with the output of a recording device that recorded the actual vibration profile of the target component under use. APS Dynamics We are specialized in designing, manufacturing and marketing vibration systems for modal test excitation, low frequency calibration, and component test. 1 (Lollipop MR1, API 22) Signature b946708b34bfffe1879574aeac40cd0e3ae41d2a. Systems for Generating Controlled Vibration - APS Dynamics Products arrowdropdown Applications arrowdropdown Services arrowdropdown APS Dynamics We are specialized in designing, manufacturing and marketing vibration systems for modal test excitation, low frequency calibration, and component test. The stiffness characteristics of the damping ring and the unbalance of the gear have an important influence on its vibration suppression performance, but the. Dynamics Vibration Testing, LLC Magnificent 35Ton shaker 10Hz-1700Hz working frequency range 2. 0 (Oreo, API 26) nodpi MD5, SHA-1, SHA-256 signatures Permissions 2 Features 1 Libraries 2 Uploaded July 19, 2018 at 257PM PDT by Thanapatra. 1 day ago. We offer a wide range of Environmental Simulation Products comprising of Electro Dynamic Vibration Shaker Systems, USB Vibration Controller, PWM Switching Power Amplifier, Pneumatic Shock Testing Machine, CATH Vibration Test System, Centrifuge Acceleration Test System, Head Expanders, Horizontal Slip Tables, and Vertical Load Support. First, the theoretical model of the method is established and studied. Vibration Characterization Vibration Characterization involves documenting the offending disturbances in the time domain andor frequency domain. There are three main sources of underwater ship noise mechanical noise, propeller noise, and hydrodynamic noise. Versatile Recording & Control. Our solutions for sound and vibration measurement are built on more than 75 years of experience, knowledge and innovation and meet the exacting measurement and analysis demands of our customers. To evaluate the effectiveness of the TMDI, the simplified model of TMDI coupled with a single-degree-of-freedom (SDOF) structure has been established. The screen is off. Recall that a system is conservative if. ) This is (currently) the only app that combines acoustic and mechanical measurements Uses monitoring vehicle engine vibration, monitoring. Simulation 7. To learn more about this feature, go to Settings > Sound > Dynamic Vibration. Even in the analysis of complex physical systems, the total behavior can be thought of as a linear combination of mass-spring-dashpot systems, each system being known as a vibration mode. However, there are also many drawbacks. System Dynamics and Mechanical Vibrations is restricted to linear systems. It is shown that for increasing absorber mass, the new eigenfrequencies cannot shift further than the neighboring antiresonances due to interlacing properties. Even modest levels of vibration can cause extreme discomfort; Vibrations generally lead to a loss of precision in controlling machinery. Create vibration compositions. 03) on the vibration of the main system in the frequency band of. This paper deals with the problem of finding the optimal stiffnesses and damping coefficients of a two degree of freedom (2DOF) system acting as a dynamic vibration absorber (DVA) on a beam structure. Jan 01, 2007 Abstract and Figures. Dynamic vibration absorbers can be used for passive control of narrowband vibration. OK, so I have a much larger application that I am not actually going to post here. Purpose Inerter-based dynamic vibration absorber (IDVA) has been widely used to reduce the responses of vibration systems. 100 PM RFP 222297MN Commissioning Services 1st Evaluation Meeting. These shakers are designed to vibrate small to large and heavy objects. 3, Shyam Nagar, Roorkee Road, Near Bus Stand,. These advanced active safety features have helped Subaru > earn more IIHS TOP SAFETY PICK awards than Honda, Toyota, or Hyundai. Unlike traditional vibration test controllers that rely heavily on an external computer for real-time operation, the Spider-81 is the first vibration test controller that directly integrates time-synchronized Ethernet connectivity with embedded DSP technology. 60 GHz processor. Within this application, any vibration and vibration measurements and analysis system identification may be performed (e. Versatile Recording & Control. 27 Jun, 2022, 12. As dynamicSpot uses Android&39;s notification system, it is compatible with almost every app, like chat reply boxes, messaging notifications, timer apps and. The editor follows an intuitive pedagogy introducing fundamentals and moving on to more advanced concepts. 24 kg in mass) with free edges. Middleborough, MA. A displacement transducer is similar to an accelerometer, but gives an electrical signal proportional to its displacement. Three-dimensional particle kinematics. First, the theoretical model of the method is established and studied. Dynamic vibration system 1IV. The MB Millenium MIMO software is a natural continuation of the innovative, real-time signal processing work commenced by MB in the 1980s, which includes under-constrained, noisy (non-Gaussian noise) multi-degree of freedom (DoF) dynamic systems. System Dynamics Definition. The field-dependent property test of the fabricated MRE sample shows that the stiffness changes by more than six times compared. When the frequency of the excitation force in a system approximately equals to its natural frequency, the vibration amplitude of the system reaches a great value. 200 - 400 kN (44,000 - 88,000 lbf) The E-Series water-cooled electro-dynamic shakers are designed for the vibration testing of large-sized payloads up to 6000 kg (13,200 lb). Electro-Dynamic Vibration Systems Ms Shinken Co. These shakers are designed to vibrate small to large and heavy objects. 200000 Tl Kredi 48 AyBORSADA LEM GRMEYEN TPE DNEN. For this reason, their suspensions incorporate an internal load support system (ILS) using an air-spring to support the weight of the device under test while the armature remains centered in its stroke range. The conditions that the system must fulfill in order to achieve this goal are determined and then a calculation example is presented. A new type of dynamic vibration absorber (DVA) with negative stiffness is studied in detail. Core System Dynamics Modeling Software. Dynamics Vibration Testing, LLC Magnificent 35Ton shaker 10Hz-1700Hz working frequency range 2. SPECS Combined 36" X 36" Oil Film Slip Table Assembly and 4" X 4" 38-16 Grid Pattern. There is no vibration in the following cases The media volume is set to silent. In cutting process, the insufficiency in grasp of the tool vibration characteristics of spindle system seriously hinders the improvement of machining quality and efficiency. Vibration induced fatigue is also a common failure mode of machinery, but can be avoided through robust design of the vibrating part, or avoiding resonant frequencies during operation. Fully system tested at 1g dynamics and installed by experienced engineers and technicians. Then the effectiveness of this method is testified via the simulation based on FEM. The dynamics of a vibration machines model in the form of a vibroimpact three-mass system with one shock pair, which oscillations are excited by two non-ideal inertial vibration exciters, is. Force-momentum formulation for systems of particles and for rigid bodies (direct method). . tony horton power life reviews