徐金帅,齐朝晖,高凌翀,卓英鹏,李强.一种超级梁单元桁架式臂架结构强度荷载计算[J].,2021,61(2):118-128 |
一种超级梁单元桁架式臂架结构强度荷载计算 |
Strength load calculation of a kind of super beam element in lattice boom structure |
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DOI:10.7511/dllgxb202102002 |
中文关键词:桁架式臂架超级梁单元几何非线性自由度凝聚强度荷载搜索插值方法 |
英文关键词:lattice boomsuper beam elementgeometric nonlineardegree of freedom condensationstrength load searchinterpolation method |
基金项目:国家自然科学基金资助项目(1187213791748203);中德合作基金资助项目(11761131005). |
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中文摘要: |
桁架式臂架结构强度承载能力计算是臂架型起重机核心计算之一.以单个臂节作为一个子结构,将其内部自由度凝聚到臂节端面,基于臂节端面刚性假设,将边界自由度进一步凝聚到臂节端面形心,臂节自重离散到形心节点上,形成一种考虑重力的超级梁单元.基于共旋坐标法,建立每个臂节的随动坐标系,可以准确计算计及大长度臂架几何非线性效应的单元应力.通过建立臂架的节点力平衡方程,得到梁单元节点位移与截面转角,计算臂架的结构强度.基于数值插值方法,提出一种快速搜索强度荷载的方法,实现对臂架强度荷载的快速搜索,得到臂架强度的承载能力.通过数值算例,说明该方法在快速计算桁架式臂架结构强度承载能力方面有着较高的效率与精度. |
英文摘要: |
The calculation of the strength bearing capacity of the lattice boom structure is one of the central calculations of the boom crane. A single boom section is considered as a substructure to condense its internal degrees of freedom to the left and right ends. Based on the assumption of the rigidity of the ends of the boom section, the boundary degrees of freedom are further condensed to the centroid of the boom section′s ends, and the weight of the boom section is discretized to the centroid node to form a super beam element considering the gravity. Based on the co rotational coordinate method, the floating coordinate system of each boom section is established, which can accurately calculate the element stress taking into account the geometric nonlinear effect of long boom. By establishing the balance equation of the node force of the boom, the displacement and rotation angle of the beam element nodes are obtained, and the structural strength of the boom is calculated. Based on the numerical interpolation method, a fast search method of strength load is proposed to realize the fast search of boom strength load and obtain the bearing capacity of boom strength. The numerical examples show that this method has high efficiency and accuracy in the fast calculation of the strength bearing capacity of lattice boom structure. |
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