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工程设计学报  2017, Vol. 24 Issue (6): 680-686    DOI: 10.3785/j.issn.1006-754X.2017.06.011
建模、分析、优化和决策     
基于动力学仿真的高速曲柄压力机曲轴疲劳寿命分析
蔡玉强, 朱东升
华北理工大学 机械工程学院, 河北 唐山 063210
Analysis of crankshaft fatigue life of high-speed crank press based on dynamics simulation
CAI Yu-qiang, ZHU Dong-sheng
School of Mechanical Engineering, North China University of Science and Technology, Tangshan 063000, China
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摘要:

为了研究反向配置副滑块的高速曲柄压力机曲轴的疲劳寿命,对压力机的曲柄滑块机构进行了受力分析,根据达朗贝尔原理建立了机构的动力学方程,并对机构的位移闭环矢量方程进行一阶和二阶求导,分别得到了各构件的运动学方程和加速度方程。利用联立约束法联立运动学方程与动力学方程,并将所有方程组装成一个稀疏矩阵。通过MATLAB中的Simulink模块建立了机构的动态仿真模型,将求得的稀疏矩阵作为Function模块嵌入仿真模型中进行迭代求解。在考虑冲压力的情况下,快速、准确地求得了压力机曲轴的压力曲柄颈、支承颈和平衡曲柄颈处载荷随时间的变化规律。根据MATLAB/Simulink仿真得到的曲轴周期性载荷谱,利用Workbench软件对高速压力机曲轴施加载荷,并进行疲劳寿命分析。分析结果表明:曲轴的寿命满足设计要求,经历107次应力循环后没有出现明显损伤,最小疲劳安全系数为1.09。曲轴轴颈(即压力曲柄颈、支承颈和平衡曲柄颈)载荷根据运动学参数求得,可以真实地反映出速度、加速度和惯性载荷之间的关系,为压力机曲轴、曲轴支撑结构和动平衡结构设计及压力机下死点精度的研究提供重要的理论依据。疲劳寿命分析中的载荷变化规律根据数学模型迭代求解得出,分析结果更加接近实际,为压力机曲轴的实际应用提供参考。

关键词: 高速曲柄压力机联立约束法MATLAB/Simulink疲劳寿命分析    
Abstract:

In order to study crankshaft fatigue life of high-speed crank press with reverse sliding block, the force analysis of crank slider mechanism was carried out, the dynamics equations of the mechanism were established by D'Alembert principle, and the first derivative and second derivative of the closed loop vector equations of the mechanism were carried out, and the kinematics equations and the acceleration equations of all crank links were obtained. The kinematic equations and dynamics equations were combined by simultaneous constraint method, and all equations were assembled into a sparse matrix. Dynamic simulation model of mechanism was established by MATLAB/Simulink, the sparse matrix was embedded in the simulation model as Function modular, and the iterative solution was conducted by MATLAB/Simulink. As stamping force was considered, the variation of load with time of pressure crank journal, supporting journal and balance crank journal were calculated quickly and accurately. According to the load spectrum calculated by MATLAB/Simulink, the loads were applied on the crankshaft by Workbench, and the fatigue life analysis was carried out by stress fatigue. The results showed that the crankshaft life met design requirements, and there was no obvious damage when crankshaft experienced 107 stress cycles, and the minimum fatigue safety factor was 1.09. The loads of crank journal is obtained by kinematic parameters, which can actually reflect the relationship between velocity, acceleration and inertia load,and that can provide the important theoretical basis for structural design of crank, crankshaft support structures and dynamic balancing structure and the research on bottom dead center accuracy of high-speed press. The results of fatigue life analysis are closer to reality because of the variation of load is obtained by simulation, and the results provide important reference opinions for practical application of press crankshaft.

Key words: high-speed crank press    simultaneous constraint method    MATLAB/Simulink    analysis of fatigue life
收稿日期: 2017-06-02 出版日期: 2017-12-28
CLC:  TH122  
基金资助:

河北省高层次人才资助项目(A201400214)

作者简介: 蔡玉强(1967-),男,河北唐山人,教授,博士,从事计算机辅助设计研究,E-mail:867798081@qq.com,http://orcid.org/0000-0002-1245-2042
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引用本文:

蔡玉强, 朱东升. 基于动力学仿真的高速曲柄压力机曲轴疲劳寿命分析[J]. 工程设计学报, 2017, 24(6): 680-686.

CAI Yu-qiang, ZHU Dong-sheng. Analysis of crankshaft fatigue life of high-speed crank press based on dynamics simulation[J]. Chinese Journal of Engineering Design, 2017, 24(6): 680-686.

链接本文:

https://www.zjujournals.com/gcsjxb/CN/10.3785/j.issn.1006-754X.2017.06.011        https://www.zjujournals.com/gcsjxb/CN/Y2017/V24/I6/680

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