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Enhanced structural behavior of flexible laminated composite beams

机译：柔性叠层复合梁的增强结构性能

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摘要

The aim of the present study is to investigate analytically and numerically the structural behavior of laminated composite beams under axial compression using piezoelectric layers. A mathematical model was developed based on a first order shear deformation theory (FSDT) which includes shear deformations, usually neglected in the classical lamination theory of composite structures. Closed form solutions for the bending angle and the axial and lateral displacements along the beam are presented for various boundary conditions. Natural frequencies and their associated mode shapes, as well as, buckling loads were computed for beams with and without piezoelectric layers influence, having various boundary conditions and lay-ups. Next, the influence of the piezoelectric layers on the axial compression load and the natural frequencies is investigated to yield an enhancement of the structural behavior of the beam. This is done using a proportional control load, in which the sensed voltage on the beam is fed back (after being amplified using a constant gain G), onto the PZT actuators which prevent the premature buckling of the flexible beam by actively increasing its stiffness. A parametric investigation was performed for beams with various lay-ups, and it was shown that for a given feedback gain value, the natural frequencies and the buckling loads can be increased by a factor of two, when using the enhancement procedure developed within the present study.
机译：本研究的目的是分析和数值研究压电复合材料层合板在轴向压缩下的结构行为。基于一阶剪切变形理论（FSDT）开发了一个数学模型，该理论包括通常在复合结构的经典层合理论中忽略的剪切变形。针对各种边界条件，给出了弯曲角度以及沿梁的轴向和横向位移的闭合形式解。对于具有和不具有压电层影响，具有各种边界条件和叠置的梁，计算了固有频率及其相关的模态形状以及屈曲载荷。接下来，研究压电层对轴向压缩载荷和固有频率的影响，以增强梁的结构性能。这是通过比例控制负载完成的，在该负载中，梁上的感测电压被反馈到PZT执行器上（在使用恒定增益G放大之后），该PZT执行器通过主动增加其刚度来防止柔性梁过早屈曲。对具有各种叠置的梁进行了参数研究，结果表明，对于给定的反馈增益值，使用本发明开发的增强程序时，固有频率和屈曲载荷可以增加两倍。研究。

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