CAJ | 학술논문

基于 Mindlin板理论提出了一种高阶八节点杂交应力四边形单元。该单元不仅能通过零剪力分片检验，而且能通过非零常剪力增强型分片检验。单元边界位移插值采用任意阶Timoshenko梁函数，对不同厚跨比的四边简支、固支方板，以及圆板进行了弯曲和自由振动分析，数值结果表明无论对薄板还是中厚板，该单元均是准确和有效的，并且具有几何不变性。
기우 Mindlin판이론제출료일충고계팔절점잡교응력사변형단원。해단원불부능통과령전력분편검험，이차능통과비령상전력증강형분편검험。단원변계위이삽치채용임의계Timoshenko량함수，대불동후과비적사변간지、고지방판，이급원판진행료만곡화자유진동분석，수치결과표명무론대박판환시중후판，해단원균시준학화유효적，병차구유궤하불변성。
Based on the Mindlin plate theory,a high-order 8-node hybrid stress quadrilateral element is presented.The proposed element can pass not only the zero shear stress patch test,but also the non-zero constant shear stress enhanced patch test.The element boundary displacement is interpolated by arbitrary order Timoshenko beam function.The bending and free vibration of the simply-supported and clamped square and circular plate with different thickness and span ratios are investigated. Numerical results show that the element can be used to analyze both moderately thick and thin plates and it is efficient,accurate and geometric invariant.