约束阻尼结构动力学拓扑优化方法研究

发布时间：2018-04-01 13:13

本文选题：约束阻尼　切入点：拓扑优化　出处：《重庆大学》2013年硕士论文

【摘要】：目前，约束阻尼技术是一种有效的减振手段，它能够耗散振动能量，降低振动幅值，同时具有安全、可靠的特点，在汽车、航天和舰船结构振动与噪声控制领域展示了广阔的应用前景，，但减振降噪的同时也增加了结构的附加质量。本文研究了约束阻尼结构动力学拓扑优化方法，为约束阻尼结构优化设计与工程应用提供了理论和技术支持，具有一定的工程应用价值。主要研究内容包括： 1、根据弹性层、粘弹性层和约束层的本构关系，采用能量法，建立了约束阻尼板的有限元动力学模型，计算了约束阻尼板结构的模态参数和动力学响应，通过与实验计算结果进行比较，验证了有限元模型的正确性。 2、建立了ESO方法的约束阻尼结构的拓扑优化模型，推导了模态损耗因子对设计变量的灵敏度，采用独立网格滤波方法对灵敏度进行处理，给出了渐进结构优化方法的迭代计算步骤和流程图。算例结果表明：ESO方法应用简单，优化拓扑构型具有一定的效果。 3、研究了基于变密度法的约束阻尼结构拓扑优化方法。建立了拓扑优化模型，采用SIMP插值方法，推导了目标函数灵敏度表达式，采用优化准则法对优化算例进行了求解，通过有限元计算和实验对比验证了结果的有效性。算例表明：基于优化准则法的约束阻尼结构拓扑优化迭代速度快，计算效率高，优化效果良好。 4、研究了基于移动渐近线算法的约束阻尼结构拓扑优化方法。建立了移动渐近线算法拓扑优化模型，推导了目标函数与约束函数的灵敏度表达式，给出优化方法流程，对优化算例进行了求解，获得了较好的优化效果。最后对本文的三种约束阻尼结构拓扑优化方法进行了全面对比。
[Abstract]:At present, constrained damping technology is an effective means of damping, it can dissipate vibration energy, reduce vibration amplitude, while having the characteristics of safety and reliability in automobile, The field of vibration and noise control of spaceflight and ship structures shows a broad application prospect, but the vibration and noise reduction also increases the additional mass of the structure. In this paper, the topology optimization method of constrained damping structure dynamics is studied. It provides theoretical and technical support for the optimization design and engineering application of constrained damping structures, and has certain engineering application value. The main research contents include:. 1. According to the constitutive relation of elastic layer, viscoelastic layer and constrained layer, the finite element dynamic model of constrained damping plate is established by energy method, and the modal parameters and dynamic response of constrained damping plate structure are calculated. The correctness of the finite element model is verified by comparing with the experimental results. 2. The topology optimization model of constrained damping structure based on ESO method is established, and the sensitivity of modal loss factor to design variables is derived. The iterative calculation steps and flow charts of the asymptotic structural optimization method are given. The result of the example shows that the application of the ESO method is simple and the optimization of the topological configuration is effective. 3. The topology optimization method of constrained damping structure based on variable density method is studied. The topology optimization model is established, and the sensitivity expression of objective function is derived by SIMP interpolation method. The optimization example is solved by optimization criterion method. The validity of the results is verified by finite element calculation and experimental results. The results show that the topology optimization of constrained damped structures based on optimization criterion has high iteration speed, high computational efficiency and good optimization effect. 4. The topology optimization method of constrained damping structure based on moving asymptote algorithm is studied, the topology optimization model of mobile asymptote algorithm is established, the sensitivity expressions of objective function and constraint function are derived, and the flow of optimization method is given. The optimization examples are solved and the optimal results are obtained. Finally, three topology optimization methods of constrained damping structures are compared.
【学位授予单位】：重庆大学
【学位级别】：硕士
【学位授予年份】：2013
【分类号】：TB535.1

【参考文献】