Design and Stability Analysis of Three-cylinder Rngine Mounting System using Evidence Theory
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摘要: 针对基于不确定性参数条件下三缸发动机悬置系统不满足稳健性设计要求问题，提出了一种基于证据理论的悬置系统优化及稳定性分析方法。在考虑了悬置系统参数不确定性的条件下，首先基于证据理论原理并结合遗传算法，对悬置系统参数进行优化设计。然后分析优化后的参数在不确定性条件下悬置系统满足稳定性设计要求的概率累计分布曲线。最后，在不确定参数区间存在波动时验证优化参数的最优性。Abstract: Aiming at the problem that the mounting system of three cylinder engine can not meet the requirements of robust design considering some uncertain parameters, a method of mounting system optimization and stability analysis based on evidence theory is proposed in this paper. Considering the uncertainty of the parameters of the suspension system, based on the evidence theory and genetic algorithm, the parameters of the engine suspension system are optimized. Then, the probability cumulative distribution curve of the optimized parameters under the uncertainty condition is analyzed, and the result shows that the suspension system meets the stability design requirements. Finally, the optimized parameters are verified when there is fluctuation in the uncertain parameter range.
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Key words:
- mount system /
- uncertain parameters /
- evidence theory /
- optimal design /
- stability analysis
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表 2 动力总成固有频率和能量分布计算结果
名称 X Y Z Rx Ry Rz 要求值 4.0-8.0 4.0-8.0 8.0-12.0 14.0-17.0 16.0-18.0 18.0-20.0 固有频率/Hz 5.8 4.2 12.1 16.4 18.3 20.6 要求值 $\geqslant 75.0$ $\geqslant 75.0 $ $\geqslant 90.0 $ $\geqslant 80.0 $ $\geqslant 60.0 $ $\geqslant 60.0 $ 能量分布/% 99.2 77.1 90.4 84.0 67.8 71.4 
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表 4 悬置刚度基本可信度分配
悬置 焦元区间/(N·mm−1) m 左悬置 [252,266] 0.2 [266,280] 0.3 [280,294] 0.3 [294,308] 0.2 右悬置 [252,266] 0.2 [266,280] 0.3 [280,294] 0.3 [294,308] 0.2 后悬置 [175.5,188.5] 0.3 [188.5,201.5] 0.4 [201.5,214.5] 0.3
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表 5 悬置刚度优化值
悬置 Ku /(N·mm−1) Kv /(N·mm−1) Kw /(N·mm−1) 左悬置 56 54 224 右悬置 56 54 224 后悬置 55 148 156
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表 6 优化后动力总成固有频率和能量分布
名称 X Y Z Rx Ry Rz 固有频率/Hz 6.0 4.0 10.9 14.7 16.4 18.3 能量分布/% 98.5 76.8 90.9 81.4 60.5 64.0
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表 8 各悬置w向刚度基本可信度分配
悬置 焦元区间/(N·mm−1) m 左悬置 [201.6,212.8] 0.2 [212.8,224] 0.3 [224,235.2] 0.3 [235.2,246.4] 0.2 右悬置 [201.6,212.8] 0.2 [212.8,224] 0.3 [224,235.2] 0.3 [235.2,246.4] 0.2 后悬置 [201.6,212.8] 0.3 [212.8,224] 0.4 [224,235.2] 0.3
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