首页> 外文期刊>Journal of thermal stresses >OPTIMIZATION CONTROL OF COMPOSITE LAMINATES FOR MAXIMUM THERMAL BUCKLING AND MINIMUM VIBRATIONAL RESPONSE
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OPTIMIZATION CONTROL OF COMPOSITE LAMINATES FOR MAXIMUM THERMAL BUCKLING AND MINIMUM VIBRATIONAL RESPONSE

机译:最大热屈曲和最小振动响应的复合叠层的优化控制

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摘要

The problem of maximizing the thermal buckling and minimizing the vibrational response of composite laminates is solved using optimal design and active control procedures. The problem is formulated based on a first-order shear deformation laminate theory with various cases of boundary conditions. The design objective is to maximize thermal buckling using ply thickness and the fiber orientation angle as design variables. The active control objective is to minimize the laminate vibrational response with the minimum possible expenditure of control energy. The vibrational response is expressed in terms of the total elastic energy of the laminate and a penalty functional of closed-loop control force. Liapunov-Bellman theory is used to obtain solutions for controlled deflections and optimal control force. Comparative examples are given for angle-ply antisymmetric laminates subjected to a uniform temperature distribution. A general representation for the design variables is presented such that the ply thickness is a function of the number of layers. Some of the obtained numerical results are compared with their counterparts in the literature.
机译:使用最佳设计和主动控制程序可以解决使复合材料层压板的热屈曲最大化和振动响应最小化的问题。该问题是根据一阶剪切变形层压理论在各种边界条件下提出的。设计目标是使用层厚度和纤维定向角作为设计变量来最大化热屈曲。主动控制的目的是以最小的控制能量消耗最小化层压板的振动响应。振动响应以层合物的总弹性能和闭环控制力的罚函数表示。使用Liapunov-Bellman理论来获得控制挠度和最佳控制力的解。给出了经受均匀温度分布的角层抗对称层压板的比较例。给出了设计变量的一般表示,以使层厚度是层数的函数。将一些获得的数值结果与文献中的相应数值进行比较。

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