Dynamics Modelling and Simulation of Super Truss Element based on Non-linear Beam Element
Dynamics Modelling and Simulation of Super Truss Element based on Non-linear Beam Element
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DOI：
10.5220/0010519700500061
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发表时间：
2021
期刊：
影响因子：
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通讯作者：
Lingchong Gao;Xiaobing Dai;Michael Kleeberger;J. Fottner
中科院分区：
文献类型：
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作者：
Lingchong Gao;Xiaobing Dai;Michael Kleeberger;J. Fottner
装有网架吊杆系统的移动式起重机被广泛用于提升建筑工地上的重载。即使网架结构能以有限的质量提供强大的支撑，网架臂架的惯性力仍然是不可忽视的，起重载荷也是不可忽视的。因此，网架臂架的动力响应是重要的，但由于其具有大量的自由度，因此也非常耗时。工程中经常将桁架梁简化为连续梁，但由于桁架的不连续性，这种直接建模方法不能真实地反映桁架的实际动力学特性。本文提出了一种用于非线性桁架单元的详细的超级桁架单元列式，以减少自由度数。该公式采用基于共转坐标的非线性空间Timoshenko梁和具有三个假设的动力凝聚方法。在对超级桁架单元的特性进行了参数化处理后，提出了一种计算大位移大转角情况下质量矩阵和力矢的非线性方法。对格构式臂架起重机的空间运动进行了动力学仿真，并对仿真结果进行了分析。
A mobile crane equipped with a lattice boom system is widely used to lift the heavy load on construction sites. Even though the lattice structure can provide strong support with limited mass, the inertia force of the lattice boom is still not neglectable, so is the heavy lifting load. Therefore, the dynamic response of the lattice boom is important but also time-consuming due to a large number of degrees of freedom. In engineering, the truss beam is often simplified as a continuous beam, but because of the noncontinuity of the truss, this direct modelling method cannot truly reflect the actual dynamics of the truss. In this paper, a detailed Super Truss Element formulation for nonlinear truss elements is proposed to reduce the number of degrees of freedom. The formulation uses nonlinear spatial Timoshenko Beam based on co-rotational coordinate and dynamic condensation approach with three assumptions. After parameterizing the characteristics of the Super Truss Element, a nonlinear method for the calculation of the mass matrix and force vector in a large displacement and rotation is developed. A dynamic simulation of the spatial motion of the lattice boom crane is performed and the results are analysed.