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Regenerative energiesysteme volcker quaschning ebook store software#
Autorenportraitġ A Crash Course on Lagrangian Dynamics 1ġ.6 Virtual Work and Generalized Forces 17ġ.9 Procedure for Deriving Equation(s) of Motion 24ġ.10.1 Systems Containing Only Particles 25ġ.10.2 Systems Containing Rigid Bodies 38ġ.11 Linearization of Equations of Motion 57ġ.11.3 Observations and Further Discussions 62Ģ.3 Free Vibrations of Undamped System 83Ģ.3.1 General Solution for Homogeneous Differential Equation 83Ģ.3.3 Determining Constants via Initial Conditions 87Ģ.5 Using Normalized Equation of Motion 94Ģ.5.1 Normalization of Equation of Motion 94Ģ.5.2 Classification of Vibration Systems 95Ģ.5.3 Free Vibration of Underdamped Systems 96Ģ.5.4 Free Vibration of Critically Damped System 100Ģ.5.5 Free Vibration of Overdamped System 102Ģ.6 Forced Vibrations I: Steady-State Responses 108Ģ.6.2 Mechanical Significance of Steady-State Solution 110Ģ.6.3 Other Examples of Harmonic Loading 115Ģ.7 Forced Vibrations II: Transient Responses 133Ģ.7.1 Transient Response to Periodic Loading 134Ģ.7.2 General Loading: Direct Analytical Method 139Ģ.8.1 Free Vibrations of Single-DOF Systems 172Ģ.8.2 Steady-State Responses of Single-DOF Systems 173Ģ.8.3 Transient Responses of Single-DOF Systems 174ģ.4 Lumped-Parameter Modeling of Simple Components and Structures 190ģ.5.1 Castigliano Method for Equivalent Spring Constants 218ģ.5.2 Rayleigh–Ritz Method for Equivalent Masses 223ģ.5.3 Rayleigh–Ritz Method for Equivalent Spring Constants 227ģ.5.4 Rayleigh–Ritz Method for Natural Frequencies 230ģ.5.5 Determining Lumped Parameters Through Experimental Measurements 231ģ.6 Examples with Lumped-Parameter Models 233Ĥ.3 Modal Analysis: Natural Frequencies and Mode Shapes 273Ĥ.4.1 Free Vibrations of Undamped Systems 284Ĥ.4.2 Free Vibrations of Undamped Unconstrained Systems 293Ĥ.4.3 Free Vibrations of Systems of Many DOFs 296Ĥ.6 Coupling, Decoupling, and Principal Coordinates 307Ĥ.6.3 Decoupling Method for Free-Vibration Analysis 310Ĥ.7 Forced Vibrations I: Steady-State Responses 319Ĥ.8 Forced Vibrations II: Transient Responses 328Ĥ.9.2 Free Vibrations of Multi-DOF Systems 357Ĥ.9.3 Steady-State Responses of Multi-DOF Systems 359Ĥ.9.4 Transient Responses of Multi-DOF Systems 359ĥ Vibration Analyses Using Finite Element Method 370ĥ.2 Introduction to Finite Element Method 370ĥ.2.1 Lagrangian Dynamics Formulation of FEM Model 371ĥ.3.3 Generalization: Large-Scale Finite Element Simulations 392ĥ.3.4 Damping Models in Finite Element Modeling 394ĥ.4 Vibration Analyses Using SOLIDWORKS 395ĥ.4.1 Introduction to SOLIDWORKS Simulation 396ĥ.5.2 Using Commercial Finite Element Analysis Software 429Īppendix A Review of Newtonian Dynamics 433Ī.1.1 Kinematics of a Point or a Particle 433ī.1.3 Accessing Matrix Elements and Submatrices 442ī.1.4 Operators and Elementary Functions 444ī.1.6 M-Files, Scripts, and Functions 449ī.2.3 Three-Dimensional Surface Plots 457Īppendix C Tables of Laplace Transform 459Īlle hier erworbenen E-Books können Sie in Ihrem Kundenkonto in die kostenlose PocketBook Cloud laden.
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The last topic introduces the finite element method as a jumping point for students to understand the theory and the use of commercial software for vibration analysis of real-world structures. The fourth topic introduces mathematical tools for general multiple degrees of freedom systems, with many examples suitable for hand calculation, and a few computer-aided examples that bridges the lumped-parameter models and continuous systems. The third topic introduces the lumped-parameter modeling to convert simple engineering structures into models of equivalent masses and springs. This is intended to develop student's affinity to symbolic calculations, and to encourage curiosity-driven explorations. In the process, every example includes a section Exploring the Solution with MATLAB. The second topic introduces mathematical tools for vibration analyses for single degree-of-freedom systems.
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It starts from a concise, rigorous and yet accessible introduction to Lagrangian dynamics as a tool for obtaining the governing equation(s) for a system, the starting point of vibration analysis. Consisting of five major topics, each has its own chapter and is aligned with five major objectives of the book. This introductory book covers the most fundamental aspects of linear vibration analysis for mechanical engineering students and engineers.
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