复合材料机翼颤振特性的数值仿真

摘要

Investigation of composite wing flutter characteristic is complex using traditional method due to the geometric and material coupling of a composite wing.Therefore,equations of motion were derived based on Hamilton theory in this paper.And then the equations were discretizated using differential quadrature method.The numerical simulation of the flutter speed of a composite wing with bending-torsion coupling was studied based on Matlab program.Then the results were compared with some available results and a good agreement was observed.In all the cases studied here,the efficiency and usefulness of the DQM are well illustrated.Moreover,the effect of material coupling rigidity on flutter speed was analyzed.It can be seen from the results that a larger absolute value of the material coupling rigidity can improve the flutter speed.%研究机翼振颤性能优化问题,由于复合材料机翼具有材料耦合和几何耦合的特点,传统的方法研究复合材料机翼的颤振特性比较复杂,耗时长.为解决上述问题,提出利用哈密顿原理建立了系统的运动方程,然后采用微分求积法进行离散,并编制了程序对复合材料机翼的弯扭耦合颤振速度在Matlab软件上进行了数值仿真.结果表明,微分求积法的计算结果精度高、速度快,并证明利用微分求积法分析复合材料机翼的颤振特性是可行且有效的.同时,分析了材料耦合刚度对颤振速度的影响,结果表明材料耦合刚度的绝对值稍大些才能提高机翼的颤振速度.