波纹钢板剪力墙弹性抗侧刚度研究

Research on elastic lateral-resistant stiffness of corrugated steel plate shear walls

摘要:

为从理论角度分析波纹钢板剪力墙剪切弹性抗侧刚度,先采用正交各向异性平板理论对弹性阶段的等效平板在纯剪和纯主应力作用下的面内变形进行了比较分析,得出不同波形形状参数下的波纹钢板弹性模量、剪切模量和未知泊松比之间的关系。利用平钢板剪切模量反推未知的泊松比,得到波纹钢板剪切模量计算统一公式。将统一公式代入厚钢板弹性抗侧刚度公式中,得到波纹钢板弹性抗侧刚度公式,并与剪力墙框架的抗侧刚度计算公式简单叠加,得到波纹钢板剪力墙弹性抗侧刚度统一公式。通过和当前已有的波纹钢板剪切模量公式反证统一公式的可靠性。后根据ABAQUS有限元分析软件模拟了70个不同形状尺寸的波纹钢板剪力墙抗侧模型与统一公式计算结果对比验证公式的统一性。结果表明波纹钢板剪力墙弹性抗侧刚度统一公式是有效合理的,波长和波纹展开长度对刚度影响显著,而在波长和波纹展开长度不变时,波纹钢板波形不影响刚度的变化。最后确定了统一公式的适用范围。

Abstract:

To theoretically analyze the elastic lateral-resistant stiffness of corrugated steel plate shear walls, the relationship between elastic modulus, shear modulus, and unknown Poisson’s ratio of corrugated steel plates with different wave forms was obtained by comparatively analyzing the in-plane deformation of equivalent orthotropic plate under pure shear and pure principal stress in elasticity phase using orthotropic plate theory. The unknown Poisson’s ratio was calculated inversely by shear modulus of steel plate to obtain the unified formula of shear modulus for corrugated steel plates. Applying the unified formula to the elastic lateral stiffness formula of thick steel plates, the elastic lateral stiffness formula of corrugated steel plates was obtained. The elastic lateral-resistant stiffness of corrugated steel plate shear walls was calculated by simple addition of corrugated steel plate stiffness and frame stiffness. The reliability of the proposed formula was verified by existing shear modulus formula of corrugated steel plates. Then, a total of 70 models were simulated based on ABAQUS finite element analysis software for corrugated steel plate shear walls with different wave forms and sizes to verify the uniformity of the proposed formula. Results show that the unified formula was accurate and reliable for calculating the elastic lateral-resistant stiffness of corrugated steel plate shear walls. The wavelength and corrugation expansion length both had significant effects on the elastic lateral-resistant stiffness, while the wave forms of corrugated steel plates had no effect on the variation of elastic lateral-resistant stiffness when the wavelength and corrugation expansion length were constant. Finally, the application scope of the unified formula was determined.