Energy Equivalent Static Load Method Based on Critical Time Point and Structure Dynamic Response Optimization

doi:10.3901/JME.2016.09.151

Abstract

Abstract: The method of equivalent static loads based on displacement is an effective way to solve the handling difficulties of dynamic constraint and the difficulty of convergence problem of structural dynamic optimization. According to the shortcoming of equivalent static loads based on displacement including inaccurate results of optimization and poor practicability, the transformation method of equivalent static loads from dynamic loads based on energy is proposed. This method researches the basic principle of energy equivalent though deriving changes relationship of energy to structure under dynamic and static loads. The optimization mathematical model of equivalent transformation based on energy is proposed on the basis of identification of the time to equivalent transformation between dynamic and static loads, and solved by the global optimization algorithm named DIRECT algorithm. An example of 124-member plane truss from classic literature is used to verify the validity and accuracy of method. Theoretical research achievement is applied to dynamic optimization design of engine piston, and practicability of method is proven. A new idea is provided to the dynamic response optimization design of a complex structure based on equivalent static loads method.

Key words: dynamic optimization of piston, dynamic response optimization, energy equivalent, method of equivalent static loads, time critical point

CLC Number:

TH122

ZHANG Yangang, MAO Huping, SU Tiexiong, GUO Zhiming, LI Kun. Energy Equivalent Static Load Method Based on Critical Time Point and Structure Dynamic Response Optimization[J]. Journal of Mechanical Engineering, 2016, 52(9): 151-157.

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