XIANG Yu, HUANG Yu-ying, LU Jing, YUAN Li-yun, ZOU Shi-zhi. A New Matrix Method for Analyzing Vibration and Damping Effect of a Sandwich Circular Cylindrical Shell With a Viscoelastic Core[J]. Applied Mathematics and Mechanics, 2008, 29(12): 1443-1456.
 Citation: XIANG Yu, HUANG Yu-ying, LU Jing, YUAN Li-yun, ZOU Shi-zhi. A New Matrix Method for Analyzing Vibration and Damping Effect of a Sandwich Circular Cylindrical Shell With a Viscoelastic Core[J]. Applied Mathematics and Mechanics, 2008, 29(12): 1443-1456.

# A New Matrix Method for Analyzing Vibration and Damping Effect of a Sandwich Circular Cylindrical Shell With a Viscoelastic Core

• Rev Recd Date: 2008-10-08
• Publish Date: 2008-12-15
• Based on the linear theories of thin cylindrical shells and viscoelastic materials,the governing equation describing vibration of a sandwich circular cylindrical shell with a viscoelastic core under harmonic excitation,which can be written in a matrix differential equation of first order,was derived by considering the energy dissipation due to the shear deformation of the viscoelastic core layer and the interaction between all layers.After that a new matrix method for solving this governing equation was established by means of the extended homogeneous capacity precision integration approach presented by authors.With these,the vibration characteristics and damping effect of the sandwich cylindrical shell can be studied.Its difference from the existing transfer matrix method is that the state vector in governing equation is composed of the displacements and internal forces of the sandwich shell rather than of the displacements and their derivatives.So the present method can be applied to solve the dynamic problems of the kind of sandwich shell with various boundary conditions and partially constrained layer damping.Numerical examples show that the proposed approach is very effective and reliable.
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