Structural topology optimization subjected to stationary random base acceleration excitations is investigated in this paper. In the random response analysis, the Large Mass Method(LMM) which attributes artificial larg...Structural topology optimization subjected to stationary random base acceleration excitations is investigated in this paper. In the random response analysis, the Large Mass Method(LMM) which attributes artificial large mass values at each driven nodal Degree Of Freedom(DOF) to transforming the base acceleration excitations into force excitations is proposed. The Complete Quadratic Combination(CQC) which is commonly used to calculate the random responses in previous optimization has been proven to be computationally expensive especially for large-scale problems. In order to conquer this difficulty, the Pseudo Excitation Method(PEM) and the combined method of PEM and Mode Acceleration Method(MAM) are adopted into the dynamic topology optimization, and random responses are calculated using these two methods to ascertain a high efficiency over the CQC. A density-based topology optimization method minimizing dynamic responses is then formulated based on the integration of LMM and PEM or the combined method of PEM and MAM. Numerical examples are presented to verify the accuracy of the proposed schemes in dynamic response analysis and the quality of the optimized design in improving dynamic performance.展开更多
功率谱密度传递率(Power Spectrum Density Transmissibility,PSDT)是一种描述系统响应的功率谱之间关系的(复)频域函数,主要被用于作为运行模态分析的初始数据。与传统的方法不同,基于PSDT的运行模态分析具有不受激励中有色成分影响的...功率谱密度传递率(Power Spectrum Density Transmissibility,PSDT)是一种描述系统响应的功率谱之间关系的(复)频域函数,主要被用于作为运行模态分析的初始数据。与传统的方法不同,基于PSDT的运行模态分析具有不受激励中有色成分影响的特点,因此具有广阔的发展和应用前景。然而,现有的对PSDT的研究基本上集中于应用层面,关于PSDT的概念、性质等基础问题的讨论非常少见。从系统的角度出发,深入地讨论了PSDT与模态参数和激励中有色成分的关系,分析了不同荷载条件下能够对PSDT产生影响的因素,探究了PSDT作为运行模态分析的初始数据的作用原理。数值和实验验证的结果证明了所得到的结论的正确性。展开更多
基金supported by the Innovation and Development Foundation of ISE, CAEP (2017 cxj18)the Presidential Foundation of CAEP (YZJJLX2018008)
文摘Structural topology optimization subjected to stationary random base acceleration excitations is investigated in this paper. In the random response analysis, the Large Mass Method(LMM) which attributes artificial large mass values at each driven nodal Degree Of Freedom(DOF) to transforming the base acceleration excitations into force excitations is proposed. The Complete Quadratic Combination(CQC) which is commonly used to calculate the random responses in previous optimization has been proven to be computationally expensive especially for large-scale problems. In order to conquer this difficulty, the Pseudo Excitation Method(PEM) and the combined method of PEM and Mode Acceleration Method(MAM) are adopted into the dynamic topology optimization, and random responses are calculated using these two methods to ascertain a high efficiency over the CQC. A density-based topology optimization method minimizing dynamic responses is then formulated based on the integration of LMM and PEM or the combined method of PEM and MAM. Numerical examples are presented to verify the accuracy of the proposed schemes in dynamic response analysis and the quality of the optimized design in improving dynamic performance.
文摘功率谱密度传递率(Power Spectrum Density Transmissibility,PSDT)是一种描述系统响应的功率谱之间关系的(复)频域函数,主要被用于作为运行模态分析的初始数据。与传统的方法不同,基于PSDT的运行模态分析具有不受激励中有色成分影响的特点,因此具有广阔的发展和应用前景。然而,现有的对PSDT的研究基本上集中于应用层面,关于PSDT的概念、性质等基础问题的讨论非常少见。从系统的角度出发,深入地讨论了PSDT与模态参数和激励中有色成分的关系,分析了不同荷载条件下能够对PSDT产生影响的因素,探究了PSDT作为运行模态分析的初始数据的作用原理。数值和实验验证的结果证明了所得到的结论的正确性。
