摘要
针对结构与无限大声场的声振耦合系统中结构的双材料拓扑优化问题进行了研究。采用有限元与边界元方法分别对结构和声场进行离散。基于分段常数水平集(piecewise constant level set,PCLS)方法,构造了结构的刚度阵、质量阵与阻尼阵。优化目标选为最小化结构指定位置的振幅平方,采用伴随变量法进行灵敏度分析。引入二次罚函数方法来实现体积约束,基于灵敏度信息对优化参数进行重新定义,克服了参数的问题依赖性。数值结果表明优化设计可以显著降低结构的振幅,证实了优化方法的有效性。不同算例下体积约束在相同优化参数下均得到很好满足,说明了重新定义参数的优越性。
Topology optimization of bi-material in coupled systems of structure and infinite acoustic field was investigated. The finite element method and boundary element method were used to simulate the structure and acoustic fields, respectively. The stiffness matrix, the mass matrix, and the damping matrix were constructed based on the piecewise constant level set(PCLS) method. Minimization of the squared vibration amplitudes at specified points of the structure was chosen as the design objective, using the adjoint variable method to calculate the design sensitivities. Introducing the quadratic penalty method to satisfy the volume constraint, the optimization parameter was redefined to overcome its problem dependency by using the sensitivity information. Numerical results show that the vibration amplitudes can be reduced significantly, indicating the effectiveness of the optimization algorithm. The volume constraints are well satisfied under the same optimization parameters in different cases, showing the advantages of redefined optimization parameter.
作者
苗晓飞
赵文畅
陈海波
MIAO Xiaofei;ZHAO Wenchang;CHEN Haibo(CAS Key Laboratory of Mechanical Behavior and Design of Materials,Department of Modern Mechanics,University of Science and Technology of China,Hefei 230026,China)
出处
《振动与冲击》
EI
CSCD
北大核心
2022年第4期192-199,238,共9页
Journal of Vibration and Shock
基金
国家自然科学基金(11772322)
中国科学院战略性先导科技专项(B类)子课题(XDB22040502)。
关键词
声振耦合系统
拓扑优化
分段常数水平集(PCLS)
伴随变量法
coupled structural-acoustic systems
topology optimization
piecewise constant level set(PCLS)
adjoint variable method
