Dynamic Analysis And Reliability Optimization Design For Stochastic Parameter Chain Structures

Dynamic analysis and optimization of structure plays an important role in structural design and investigation, but structural dynamic analysis and optimization for stochastic structures is a more important task which must be investigated today. In this paper, the problem of structural dynamic analysis of stochastic structures and optimal dynamic response design of structure with the reliability constraints on dynamic response is studied. As chain structures for object, the stochastic property of physics parameter (mass density and shear elastic module) of structural material and structural dimensions and loads is individually or meantime considered and structural dynamic analysis based on probability is analyzed. The equation to calculate natural frequency and the expression of dynamic response have been built, and the digit characteristics of natural frequency random variable and dynamic response are derived. Based on calculated of dynamic response, considering the randomness of structure parameters, the numerical value simulation of structural dynamic response is derived, and put forward a resolve of this problem. Based on theory discussed above, the structural optimization design model is developed with the reliability constraints, in which the structural dimensions are taken as design variables and the structure weight as objective function. In optimization process, the reliability constraints are equivalently displayed is that the constraints in probability form can be showed in normal form with equivalence. At last, given several detail examples and edited program. The dynamic analysis and dynamic optimization design module based on probability are validated by numerical examples, and the result is reasonable and feasible.