文档介绍：Journal of Sound and Vibration (2002) 258(2), 269–285
doi:, available online at
STATISTICAL SEISMIC RESPONSE ANALYSIS AND
RELIABILITY DESIGN OF NONLINEAR STRUCTURE
SYSTEM
B.-Y. Moon and B.-S. Kang
Department of Aerospace Engineering, Busan National University, Gumjung-ku, Busan 609-735,
South Korea. E-mail: moon byung young@
(Received 14 June 2001, and in final form 4 March 2002)
Industrial structure systems may have non-linearity, and are also sometimes exposed to
the danger of earthquake. In the design of such system, these factors should be accounted
for from the viewpoint of reliability. This paper proposes a method to analyze seismic
response and reliability design of plex non-linear structure system under random
excitation. The actual random excitation is represented to the corresponding Gaussian
process for the statistical analysis. Then, the non-linear system is subjected to this random
process. The non-linear structure system is modelled by substructure synthesis method
(SSM) procedure. The non-linear equations are expanded sequentially. Then, the perturbed
equations are solved in probabilistic method. Several statistical properties of a random
process that are of interest in random vibration applications are reviewed in accordance
with the non-linear stochastic problem. The system performance condition in the design of
system is that responses caused by random excitation be limited within safe bounds. Thus,
the reliability of the system is considered according to the crossing theory. Comparing with
the results of the numerical simulation proved the efficiency of the proposed method.
# 2002 Elsevier Science Ltd. All rights reserved.
1. INTRODUCTION
In recent years, the trend in mechanical systems has been toward high speed and
lightweight ones in many industrial machines. These conditions can cause trouble of a
non-linear vibration in mechanical systems. Hence, it has e important to consider