Vibration of Continuous Systems

By Singiresu S. Rao. 2019

1,846 citations recorded by the source corpus.

Preface. Symbols. Chapter 1. Introduction: Basic Concepts and Terminology. Chapter 2. Vibration of Discrete Systems: Brief Review. Chapter 3. Derivation of Equations: Equilibrium Approach. Chapter 4. Derivation of Equations: Variation Approach. Chapter 5. Derivation of Equations: Integral Equation Approach. Chapter 6. Solution Procedure: Eigenvalue and Modal Analysis Approach. Chapter 7. Solution Procedure: Integral Transform Methods. Chapter 8. Transverse Vibration of Strings. Chapter 9. Longitudinal Vibration of Bars. Chapter 10. Torsional Vibration of Shafts. Chapter 11. Transverse Vibration of Beams. Chapter 12. Vibration of Circular Rings and Curved Beams. Chapter 13.Vibration of Membranes. Chapter 14. Transverse Vibration of Plates. Chapter 15. Vibration of Shells. Chapter 16. Elastic Wave Propagation. Chapter 17. Approximate Analytical Methods. A. Basic Equations of Elasticity. B. Laplace and Fourier Transforms. Index.

Subfields: Control and Systems Engineering

View Paper: https://www.semanticscholar.org/paper/a9c7c2dee2e3cf54413c730e98b73d5a3a313595

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In Control and Systems Engineering

Citations in the corpus

Free vibration analysis of ribbed plates by a combined analytical-numerical method (2009, background): “According to the classical theory of thin plates, the equation of motion of the forced plate is given as follows [21]:”
Longitudinal vibration analysis for microbars based on strain gradient elasticity theory (2014, background): “The components of displacement vector are expressed as (Rao, 2007)”
Temperature-Insensitive Composite Micromechanical Resonators (2009, methodology): “Following this methodology, the frequency of beams and rings in flexural or extensional modes can be determined (Table III) [20].”
Dispersion and transient analyses of Hermite reproducing kernel Galerkin meshfree method with sub-domain stabilized conforming integration for thin beam and plate structures (2011, methodology): “The analytic solution for this problem is [55]:”
A DIFFERENTIAL QUADRATURE PROCEDURE WITH REGULARIZATION OF THE DIRAC-DELTA FUNCTION FOR NUMERICAL SOLUTION OF MOVING LOAD PROBLEM (2015, background): “The governing differential equation of motion of the rectangular plate is given by (Rao, 2007) )),(())((2 4 4 22 4 4 4 2 2 tyytxxf y w yx w x w D t w h ff”