Description
Advanced Mechanical Vibrations
Physics, Mathematics and Applications
Author: Gatti Paolo Luciano
Language: English
Subjects for Advanced Mechanical Vibrations:
Keywords
Non-linear Vibrations; equations of motion; Discrete Parameters Systems; Lagrange equations; Energy Density; Hamilton’s principle; Simultaneous Ordinary Differential Equations; Fourier Analysis; Cantilever Free End; Random vibrations; Small Physical Dimensions; Courant’s eigenvalues; Time Dependent Amplitude; eigenvalue separation property; Initial Phase Angle; vibration isolation; Energy Dissipation Mechanisms; Laplace Analysis; Wide Band Signals; operational modal analysis; Stable Equilibrium Position; Linear vibrations; Continuous systems; Discrete systems; Random excitation; Advanced mechanical vibrations
Publication date: 06-2022
Support: Print on demand
Publication date: 12-2020
· 15.6x23.4 cm · Hardback
Description
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Advanced Mechanical Vibrations: Physics, Mathematics and Applications provides a concise and solid exposition of the fundamental concepts and ideas that pervade many specialised disciplines where linear engineering vibrations are involved. Covering the main key aspects of the subject ? from the formulation of the equations of motion by means of analytical techniques to the response of discrete and continuous systems subjected to deterministic and random excitation ? the text is ideal for intermediate to advanced students of engineering, physics and mathematics. In addition, professionals working in ? or simply interested in ? the field of mechanical and structural vibrations will find the content helpful, with an approach to the subject matter that places emphasis on the strict, inextricable and sometimes subtle interrelations between physics and mathematics, on the one hand, and theory and applications, on the other hand. It includes a number of worked examples in each chapter, two detailed mathematical appendixes and an extensive list of references.
1 A few preliminary fundamentals 2 Formulating the equations of motion 3 Finite DOFs systems: free vibration 4 Finite-DOFs systems: Response to external excitation 5 Vibrations of continuous systems 6 Random vibrations
