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Tractable models of solid mechanics : formulation, analysis and interpretation
Manevich, L. I
- ISBN:3642153712
- ISBN:9783642153716
- ISBN:3642153720 (electronic bk.)
- ISBN:9783642153723 (electronic bk.)
- Call Number : TA 350 .M36 2011
- Main Entry: Manevich, L. I (Leonid Isaakovich)
- Title:Tractable models of solid mechanics : formulation, analysis and interpretation [electronic resource] / Leonid I. Manevitch, Oleg V. Gendelman.
- Publisher:Berlin : Springer, 2011.
- Physical Description:1 online resource (xiii, 302 p.) : ill. (some col.)
- Series:Foundations of engineering mechanics, 1612-1384
- Notes:Includes bibliographical references and index
- Subject:Mechanics, Applied -- Mathematical models.
- Added Entry:Gendelman, Oleg V.
- Reproduction no./Source:978-3-642-15371-6 Springer http://www.springerlink.com
- Additional formats:Print version Manevich, L. I. (Leonid Isaakovich) Tractable models of solid mechanics Berlin ; Heidelberg ; New York : Springer, c2011 9783642153716 (OCoLC)704395467
92-09-04
- Cover
- Foundations of Engineering Mechanics
- 1 Introduction: Historical Development of Tractable Models
- 2 Discrete Finite Systems
- 2.1 Linear Oscillators
- 2.1.1 Linear Conservative Oscillator
- 2.1.2 Linear Oscillator with Viscous Damping
- 2.1.3 Linear Oscillator with Viscous Damping and Periodic (Harmonic) Forcing
- 2.1.4 Two Coupled Oscillators
- 2.1.4.1 Weakly Coupled Oscillators with Strongly Different Frequencies
- 2.1.4.2 Exercise
- 2.1.4.3 Weakly Coupled Oscillators with Close Frequencies
- 2.1.4.4 Exercise
- 2.1.4.5 Strongly Coupled Oscillators with Essentially Different Frequencies
- 2.1.4.6 Exercise
- 2.1.4.7 Strongly Coupled Oscillators with Close Frequencies
- 2.1.4.8 Exercise
- 2.2 Single-DOF Nonlinear Oscillator
- 2.3 Forced Nonlinear Oscillator
- 2.4 Entrainment, Synchronization and Resonance Capture
- 2.5 Symmetric Systems of Coupled Nonlinear Oscillators Beating Phenomena
- 2.6 2DOF Systems of Nonlinear Oscillators with Essential Asymmetry Targeted Energy Transfer (TET)
- 2.7 Coupled Nonlinear Oscillators with Time Delays
- 2.8 Low-DOF Discrete Nonlinear Systems
- 2.9 Concluding Remarks
- References
- 2.1 Linear Oscillators
- 3 Infinite Discrete Systems
- 3.1 Dynamics of Infinite Nonlinear Chains
- 3.2 Dynamics of Essentially Nonlinear and Vibro-Impact Chains
- 3.3 The Problem of Heat Conduction in Dielectrics
- 3.4 Solitons in Energetically Nondegenerate Quasi-One-Dimensional Models
- 3.5 Dynamics of Ensembles of Interacting Nonlinear Chains
- 3.6 Concluding Remarks
- References
- 4 Continuous Systems
- 4.1 One-Dimensional Models
- 4.2 The Planar Dynamical Problem and Tractable One-Dimensional Models of an Elastic Solid
- 4.3 The Two-Dimensional Orthotropic Model and Its Application to a Complex Contact Problem
- 4.4 Models of Elastic Foundation
- 4.5 On the Concept of Solids
- 4.6 Models of Non-Fourier Heat Conduction
- 4.7 Concluding Remarks
- References
- Afterword
- Index