Session: VIB-08-01: Nonlinear Systems & Phenomena

Paper Number: 90884

90884 - Parametric Analysis of the Nonlinear Dynamics of Cracked Cantilever Beams 

Structural damage occurs in a variety of civil, mechanical, and aerospace engineering systems, and it is critical to identify the damage at its early stage to prevent from catastrophic failures. When cracks are present in a structure, the breathing phenomenon between the crack surfaces typically triggers nonlinearity in the dynamic response. In order to thoroughly understand the nonlinear effect of cracks on the structural dynamics, two modeling approaches are integrated together in this work to investigate the crack-induced nonlinear response of a cantilever beam. First, a modeling method referred to as the discrete element (DE) method is employed to construct the discrete model of the cracked beam. The model constructed using DE is able to characterize the breathing phenomenon of the crack. Next, a simulation technique referred to as the hybrid symbolicnumeric computational (HSNC) method is then used to analyze the nonlinear response of the cracked beam. The HSNC method provides an efficient way to evaluate both stationary and non-stationary dynamics of the cracked system since it combines the efficient linear techniques and optimization tool to capture the system’s response. The proposed computational platform enables efficient multiparametric analysis of cracked structures. The effects of crack location, crack depth, and excitation frequency on the cantilever beam are parametrically investigated using the proposed method. Nonlinear features such as the subharmonic resonance, non-stationary motion, multi-stability, and frequency shift are discussed in this paper.

Presenting Author: Meng-Hsuan Tien National Tsing Hua University

Presenting Author Biography: Dr. Meng-Hsuan Tien is an assistant professor in the Department of Power Mechanical Engineering at the National Tsing Hua University in Taiwan. Dr. Tien's research interests include computational modeling of the structural dynamics, nonlinear vibration, vibration energy harvesting, and structural damage identification.

Authors:

Chia-Ling Hsu National Tsing Hua University
Meng-Hsuan Tien National Tsing Hua University