轴压下各向异性开口薄壁杆的非线性共振

Nonlinear Resonance of Anisotropic Thin-Walled Beams with Open Cross Sections under Axial Compression

本文推导了轴压下各向异性薄壁直杆的非线性动力学方程组.在推导中计及了杆壁中面的剪切变形,以及开口薄壁杆中剪应力沿厚度变化而造成的Saint-Venant扭矩,但略去了杆壁的弯曲.从这一方程组出发,用渐近方法计算了简谐变化轴向压力作用下薄壁杆共振时幅频曲线,且对各种影响因素,包括Saint-Venant扭矩的影响,作了分析.

A system of nonlinear equations for the analysis of resonance of thin-walled beams of anisotropic material under harmonically varying axial compression is derived in this paper. The shear of the middle surface and the effect of the Saint-Venant torque, which stems from the linear variation of the shear stress through thickness, are taken into account. The bending of the wall, however, is neglected. Based on these equations, amplitude-frequency curves of resonance are calculated. The effects of the influent! al factors, including the Saint-Venant torque, on the resonance behavior are discussed.