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Energy density response prediction of structures with uncertainty using interval analysis method

本站小编 哈尔滨工业大学/2019-10-23

Energy density response prediction of structures with uncertainty using interval analysis method

ZHAO Yang, WANG Kun

School of Astronautics, Harbin Institute of Technology, Harbin 150001, China



Abstract:

Prediction of vibration energy responses of structures with uncertainties is of interest in many fields. The energy density control equation for one-dimensional structure is provided firstly. Interval analysis method is applied to the control equation to obtain the range of energy density responses of structures with interval parameters. A cantilever beam with interval-valued damping coefficient is exemplified to carry out a simulation. The result shows that the mean value of energy density from the interval analysis method is the same as that from a probabilistic method which validates the interval analysis method. Besides, the response range from the interval analysis method is wider and includes that from the probabilistic method which indicates the interval analysis method is a more conservative method and is safer in realistic engineering structures.

Key words:  interval analysis method  Energy Finite Element Method  uncertain structures

DOI:10.11916/j.issn.1005-9113.2012.04.016

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