Transient response of complex stiffness system （瞬态响应复杂的系统刚度）.pdf

Transient response of complex stiffness system using a green function from the Hilbert Transform and the steady space technic. 1 2 3 Seung-Hoon BAE ; Wei Bong JEONG ; Jin-Rae CHO 1 Pusan National University, South Korea 2 Pusan National University, South Korea 3 Pusan National University, South Korea ABSTRACT Transient response of complex stiffness system using a green function from the Hilbert Transform and the Steady Space Technic. The characteristics of damped structures which are designed to reduce the strength of vibrations and shock are expressed in complex stiffness. It is not easy to solve second-order differential equations which have complex stiffness because of the governing equation鈥檚 singular points that cause time solution divergence. To solve this problem, free vibrations of these systems was obtained theoretically by the Hilbert Transform and the Steady Space Technic in which singular points are avoided and provides green function of the convolution integral. The result that are calculated by the numerical integration process for transient responses show accurate amplitude and phase differences. Therefore, it is suggested that this method provides an accurate way to estimate the maximum amplitude of time responses. Keywords: Complex stiffness, Transient, Hilbert transform I-INCE Classification of Subjects Number(s): 75.9 1. INTRODUCTION Viscoelastic material, such as rubber is widely used in industrial field to reduce the strength of vibrations and shock. For example rubber mounts are used for vibration isolator and sandwich structures which are laminated by viscoelastic and elastic material absorb the vibration energy th