【摘要】 基于层合板类推法和能量耗散原理，导出了两步法三维编织纤维增强复合材料矩形截面梁的比阻尼容量计算公式；提出了此类梁的优化设计方法，梁的阻尼取为最大优化目标函数，梁的刚度要求和工艺要求等取为约束条件，设计变量是纤维编织角、轴向纤维的百分比和梁的截面尺度等．优化问题采用约束变尺度法求解．算例表明了所提方法的显著效果．.更多还原

【Abstract】 The objective of this investigation is to predict and maximize optimally the specific damping capacity of the rectangular cross-section beam with 2-step three-dimensional braided fiber-reinforced composite. The formula for calculating the specific damping capacity is derived based on the modified classical laminated plate approach and the principle of energy dissipation. In the derivation, the unit cell of the composite is treated as an assembly of five unidirectional laminae, and the energy dissipation of each unidirectional lamina is divided into six parts corresponding respectively to stresses σx’,σy’,, σz’, τy’z’,τx’z’ and τx’y’. An optimization method is proposed for the design of the beam with the requirements on the technological conditions and the flexural rigidity of the beam taken as constraint conditions, the specific damping capacity taken as the objective function, the beam taken as design variables. The optimization problem is solved using the constrained variable metric method. Three examples to demonstrate the significant advantage of the method proposed are given.更多还原