压电层合曲壳结构振动主动控制

发布时间：2018-04-19 20:20

本文选题：压电 + 层合曲壳　；参考：《大连理工大学》2014年硕士论文

【摘要】：曲壳结构是空间结构的常见形式,曲壳结构通常结构阻尼较小,在外激励下振动衰减缓慢,控制壳体结构的振动对其结构性能的提高非常重要。压电材料作为一种智能材料,以其独特的力电耦合性质在振动控制领域占有着一席之地,以压电材料作为作动器与传感器对曲壳结构进行振动控制一直是一个研究热点问题。本文以压电曲壳结构为研究对象,主要内容有：本文为了减少弹性曲壳结构振动最优控制的计算量,一方面采用空间曲壳单元来模拟空间结构,减少结构自由度,另一方面把模态空间法和最优控制算法结合,降低控制算法的计算量。在此基础上,利用压电曲壳单元完成了结构振动最优控制。对上述理论和算法进行了程序实现,数值算例验证了本文方法的有效性。以含有传感层与作动层的复合材料压电层合曲壳为研究对象,在空间曲壳单元的基础上,针对复合材料层合曲壳的受力特性,对其进行有限元建模,推导了相关有限元列式。并在数值算例中,与ANSYS计算结果进行了对比,验证了本文有限元模型的精确性。基于压电层合曲壳的有限元模型,采用负速度反馈控制律,建立结构的振动控制方程,讨论负速度反馈对结构的影响。在模态空间状态中,同样对压电复合材料层合曲壳进行了振动最优控制求解,获得各单元电压轨迹线,实现对结构的振动最优控制。对上述理论和算法进行了程序实现,数值算例说明本文能够对压电层合曲壳结构的振动进行有效控制。最后,在模态空间最优控制法对结构进行振动控制的基础上,建立振动控制的优化模型,并采用模拟退火算法进行了优化求解。在数值算例中,对压电层合板壳的压电作动器与传感器配置进行优化,说明了模型和方法的有效性。
[Abstract]:A curved shell structure is a common form of space structure. A curved shell structure is usually less damped and attenuates slowly under external excitation. It is very important to control the vibration of the shell structure to improve its structural performance. As a smart material, piezoelectric materials occupy a place in the field of vibration control with their unique mechanical and electrical coupling properties. The vibration control of piezoelectric materials as actuators and sensors has always been a hot topic of research. In this paper, the piezoelectric curved shell structure is used as the research object, the main contents are as follows:
In order to reduce the calculation of optimal vibration control of elastic curved shell structure, the space curved shell element is used to simulate the spatial structure and reduce the degree of freedom of the structure on the one hand. On the other hand, the modal space method and the optimal control algorithm are combined to reduce the calculation amount of the control algorithm. On the basis of this, the piezoelectric curved shell element is used to complete the most vibration of the structure. The above theory and algorithm are programmed and numerical examples are given to illustrate the effectiveness of the proposed method.
On the basis of the spatial curved shell element, the finite element model of composite laminated shell is modeled and the finite element method is derived on the basis of the spatial curved shell element, and the finite element formula is derived on the basis of the space curved shell element, and the finite element formula is derived on the basis of the space curved shell element. The numerical example is compared with the ANSYS calculation results, and the finite element method is proved to be limited. The accuracy of the metamodel.
Based on the finite element model of the piezoelectric laminated shell, the negative velocity feedback control law is adopted to establish the vibration control equation of the structure, and the influence of the negative velocity feedback on the structure is discussed. In the state of modal space, the optimal control of the vibration of the laminated composite shell of the piezoelectric composite material is solved, and the voltage locus of each unit is obtained to realize the vibration of the structure. Dynamic optimization control. The above theory and algorithm are programmed. Numerical examples show that this paper can effectively control the vibration of piezoelectric laminated shell structures.
Finally, on the basis of the vibration control of the structure with the modal space optimal control method, the optimization model of the vibration control is established, and the simulated annealing algorithm is used to optimize the solution. In the numerical example, the piezoelectric actuator and the sensor configuration of the piezoelectric laminated plate are optimized, which shows the validity of the model and the method.

【学位授予单位】：大连理工大学
【学位级别】：硕士
【学位授予年份】：2014
【分类号】：TB535

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