On a vibration problem of antiplane strain (shear) of orthotropic non-homogeneous prismatic shell-like bodies

2017 ◽  
Vol 63 (6) ◽  
pp. 886-895 ◽  
Author(s):  
Natalia Chinchaladze
Keyword(s):  
Antiplane Strain ◽  
Vibration Problem ◽  
Prismatic Shell

An equivalent NVH model of vehicle door seal strip and its application in door vibration problem

2021 ◽  
Vol 179 ◽  
pp. 108063
Author(s):  
Erli Xia ◽  
Ziming Chen ◽  
Zhigang Xue ◽  
Sawei Qiu ◽  
Congchang Xu ◽  
...  
Keyword(s):  
Vibration Problem

A Symmetric Positive Definite Inverse Vibration Problem With Underdamped Modes

1995 ◽  
Author(s):  
Ladislav Starek ◽  
Daniel J. Inman ◽  
Deborah F. Pilkev
Keyword(s):  
Positive Definite ◽  
Inverse Eigenvalue Problem ◽  
Eigenvalues And Eigenvectors ◽  
Symmetric Positive Definite ◽  
Vibration Problem ◽  
Damped System ◽  
Stiffness Matrices ◽  
Inverse Eigenvalue ◽  
Inverse Vibration ◽  
Vector Differential Equation

Abstract This manuscript considers a symmetric positive definite inverse eigenvalue problem for linear vibrating systems described by a vector differential equation with constant coefficient matrices. The inverse problem of interest here is that of determining real symmetric, positive definite coefficient matrices assumed to represent the mass normalized velocity and position coefficient matrices, given a set of specified eigenvalues and eigenvectors. The approach presented here gives an alternative solution to a symmetric inverse vibration problem presented by Starek and Inman (1992) and extends these results to include the definiteness of the coefficient matrices. The new results give conditions which allow the construction of mass normalized damping and stiffness matrices based on given eigenvalues and eigenvectors for the case that each mode of the system is underdamped. The result provides an algorithm for determining a non-proportional damped system which will have symmetric positive definite coefficient matrices.

scholarly journals A modal synthesis method for the elastoacoustic vibration problem

2002 ◽  
Vol 36 (1) ◽  
pp. 121-142 ◽  
Author(s):  
Alfredo Bermúdez ◽  
Luis Hervella-Nieto ◽  
Rodolfo Rodríguez
Keyword(s):  
Synthesis Method ◽  
Vibration Problem ◽  
Modal Synthesis
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