Vibrations Analysis presents concise but thorough fundamental statement of the theory, principles and methods. Topics covered include concepts and review of analytical dynamics, the basic single and the complex multiple degree of freedom systems using the Newton’s law of motion, the energy method, matrix method, Lagrange’s equations, influence coefficients, matrix iteration, the Holzer method, Jacobi’s method and Chloleski decomposition method. An introduction to the theory of vibration of continuous systems is also included. The Rayleigh and Rayleigh-Ritz methods of determining the approximate natural frequencies are also discussed.

• Chapter on several numerical integration techniques • Illustrative examples • Programming examples using MATLAB software

Preface / Introduction / Free Vibration of Single-Degree-of- Freedom Systems / Forced Vibrations of Single-Degree-of-Freedom Systems / General Forcing Conditions and Response / Two-Degree-of-Freedom Systems / Multi-Degree-of-Freedom Systems / Analytical Dynamics / Vibration of Continuous Systems / Dynamic Response by Numerical Integration Methods / MATLAB Tutorial / Appendix A: Vector Algebra / Appendix B: Matrix Algebra / Appendix C: Fourier Series / Appendix D: Laplace Transforms / Appendix E: Introduction to MATLAB / Appendix F: Units and Conversion / Glossary of Terms / Glossary of Symbols / Answers to Problems / Bibliography / Index

Undergraduate and Postgraduate Students and Practicing Engineers