Titlebook: Vibrations of Thick Cylindrical Structures; Hamid R. Hamidzadeh,Reza N. Jazar Book 2010 Springer-Verlag US 2010 Fundament.Vibration.cylind

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978-1-4899-8422-7Springer-Verlag US 2010

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Modal Analysis of Cylindrical Structures,eneral effect upon the response of the system, is given in this chapter. Furthermore, non-dimensional natural frequencies for a number of ratios of thickness to mean radius, different non-dimensional axial wavelengths, and circumferential wave numbers are tabulated and their respective modes are identified.

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Governing Equations,city in cylindrical coordinates. At first, classical relationships between stress, strain, and displacement are reviewed and implemented into the dynamic equilibrium equations. The mathematical representations of the linear theory of elasticity derived in this chapter will set the stage for the deve

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Vibration of Multi-Layer thick cylinders,ayer cylinder. The solution is achieved by determining the displacements and stresses for each interface and by complying with requirements at the interfaces. A propagator matrix relating the boundary displacements to boundary stresses is developed. Dimensionless natural frequencies and modal loss f