Young’s modulus and internal damping in a vibrating rod

Young's Modulus and Internal Damping in a Vibrating Rod

Active damping of a vibrating string

This paper presents an investigation of active damping of the vertical and horizontal transverse modes of a rigidly-terminated vibrating string. A state-space model that emulates the behavior of the string is introduced, and we explain the theory behind band pass filter control and proportional-integral-derivative (PID) control as applied to a vibrating string. After describing the characterist...

Shape Optimization of Damping Liners on Vibrating Panels

This paper present a methodology to achieve three dimensional shape optimization of damping liners attached to vibrating panels. It is the initial stage of the development of a flexible CAE design tool to optimize such liners in automotive panels. Noise, vibration and harshness are critical aspects in modern vehicle refinement and passenger perception of quality. Vibration from engine, powertra...

Damping Optimization for Linear Vibrating Systems Using Dimension Reduction

We consider a mathematical model of a linear vibrational system described by the second-order system of differential equations Mẍ +Dẋ+Kx = 0, where M, K and D are positive definite matrices, called mass, stiffness and damping, respectively. We are interested in finding an optimal damping matrix which will damp a certain part of the undamped eigenfrequencies. For this we use a minimization crite...

A modular bearing with internal piezoshunt damping

When a piezoelectric transducer is incorporated in a mechanical structure, it is possible to damp the structural vibrations of the base structure by passive energy dissipation in the electrical domain [1]. Due to the strong electromechanical coupling in piezoelectric elements, the mechanical energy can be efficiently converted to electrical energy. By shunting the piezoelectric element to a pas...