Vibrations: Problem Solving Companion imparts basic understanding, both physical and mathematical, of the fundamentals of the theory of vibrations with applications to the analysis of vibration of mechanical or structural systems. Logically organized and easy to use, this text guides the reader through all aspects of vibration analysis. This book reviews analytical dynamics, the basic single, two, and multidegree of freedom systems using the energy and matrix methods, Lagrange’s equation, natural frequencies and mode shapes, response by direct integration techniques and vibration control. Each Chapter begins with a brief introduction to be followed by numerous solved and practice problems illustrating how the theory is used for the analysis of vibrating systems.

• Presentation in simple terms & solution procedures explained in detail through worked examples Abundant examples & exercise problems Draws a balance between theory & practice Problems at the end of each chapter Chapters on vibration control and finite element method 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 / Lagrange’s Equation / Vibration of Continuous Systems / Approximate Methods for Finding Natural Frequencies and Mode Shapes / Dynamic Response by Numerical Integration Methods / Vibration Control / Finite Element Method / Supplementary Material / Index.

Undergraduate and Postgraduate Students, Practicing Engineers