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摘要: 为在设计阶段对车架结构进行高效的动力学建模解析, 提出了基于边界元的区域分割单元合成方法。采用薄板元件的动态基本解, 建立了板型构件的边界方程, 运用区域分割单元合成法, 推导出车架结构的动力学方程。边界元计算值相对于实验值的最大相对误差为5.0%, 相对于有限元计算值的最大误差为5.9%, 表明基于边界元的区域分割单元合成方法能够快速、准确地分析车架结构的动力学特性, 在设计阶段可提高车架结构的建模精度和计算效率。Abstract: For analyzing the dynamic properties of vehicle frame effectively in design, an area partition method based on boundary element method(BEM) was presented, the boundary equations of plate structure were established by using dynamic fundamental solutions of thin plate, the dynamic equations of vehicle frame were deduced. Computation result shows that the maximal relative error of BEM's values and experimental values for thin plate is 5.0%, the maximal error of FEM's values and BEM's values for vehicle frame is 5.9%.The dynamic characteristics of vehicle frame are analyzed fastly and efficiently, its modeling precision and calculation efficiency are improved greatly in design by BEM.
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表 1 计算值与实验结果对比
Table 1. Comparison of calculational result and experimental result
频率f/Hz ω1 ω2 ω3 ω4 ω5 ω6 计算值 16.4 17.7 52.8 77.8 78.4 108.5 实验值 15.8 17.0 50.6 74.4 74.8 103.3 相对误差/% 3.8 4.1 4.4 4.6 4.8 5.0 表 2 BEM值与FEM值对比
Table 2. Comparison of results calculated by BEM and FEM
频率f/Hz ω1 ω2 ω3 ω4 ω5 ω6 BEM值 11.4 13.7 15.5 17.8 26.5 41.5 FEM值 11.9 14.3 16.2 18.7 28.0 44.1 相对误差/% -4.2 -4.2 -4.3 -4.8 -5.4 -5.9 -
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