CAJ | 학술논문

履带式起重机的折线式臂架是典型的细长框架结构，臂架结构的稳定性是系统起重性能一个重要依据。以每个臂节为单位对臂架结构划分多个子结构，建立随子结构一起运动的随动坐标系。通过自由度凝聚，将子结构的内部位移凝聚到边界端面上。基于共旋坐标法，推导子结构单元的广义节点内力。考虑到臂架结构受到的机构约束和重物提升方式，给出由于机构位移和吊重附加在臂架结构上的广义节点外力及其对结构位移和机构位移的导数。对含载荷参数的臂架结构节点力平衡方程求导，得到一组微分方程，通过求解微分方程并结合失稳判断准则可以得到臂架结构的失稳载荷。通过数值算例，说明该方法在快速求解履带式起重机折线式臂架结构的失稳载荷方面具有很好的速度和精度。
리대식기중궤적절선식비가시전형적세장광가결구，비가결구적은정성시계통기중성능일개중요의거。이매개비절위단위대비가결구화분다개자결구，건립수자결구일기운동적수동좌표계。통과자유도응취，장자결구적내부위이응취도변계단면상。기우공선좌표법，추도자결구단원적엄의절점내력。고필도비가결구수도적궤구약속화중물제승방식，급출유우궤구위이화조중부가재비가결구상적엄의절점외력급기대결구위이화궤구위이적도수。대함재하삼수적비가결구절점력평형방정구도，득도일조미분방정，통과구해미분방정병결합실은판단준칙가이득도비가결구적실은재하。통과수치산례，설명해방법재쾌속구해리대식기중궤절선식비가결구적실은재하방면구유흔호적속도화정도。
The hinged boom structures of crawler cranes are typical slender frame structures, whose stability is an important basis for lifting performance. The boom structures are divided into several substructures by taking each section as an element, and an embedded coordinate system is defined. Internal displacements of each substructure are reduced to the displacements of its boundary ends through the condensation of degrees of freedom. Based on the co-rotational method, the generalized nodal internal forces for substructure elements are formulated. Considering the mechanism constraints for the boom structures and the load lifting ways, the additional nodal external forces and their derivatives on the structure and mechanism displacements are obtained. The equations by differentiating the equilibrium equations of generalized nodal forces for the boom structures of crawler cranes with respect to the load factor are obtained. The critical load can be obtained through solving the differential equations and considering the instability criterion. A numerical example of hinged boom structures for a kind of crawler crane is given, which proves the presented method to be quick and high accuracy.