摘要
针对伸缩臂臂架动力学模型过程繁琐、求解复杂和精度不高等问题,通过引入用于表示截面翘曲和畸变的高阶特征形变,提出了一种考虑截面变形模式的伸缩臂臂架动力学模型及其求解方法。首先,依据哈密顿原理和有限单元法,完成了对臂节模型的建模和求解;然后,分析了臂架连接处的截面位移连续性条件,在两节臂架于连接处位移场差值最小条件下,建立了臂架的位移场转换矩阵,构建了伸缩臂的动力学模型;最后,将模型计算出的臂架固有频率与ANSYS分析结果进行了对比分析,对不同几何参数、不同边界条件的臂架进行了数值计算。研究结果表明:模型计算结果与ANSYS分析结果吻合良好,误差在1.2%内;当模态阶数大于2时,不能忽略高阶特征形变对于臂架模态的影响,由此造成的误差最高可达10%。
Aiming at the problems of cumbersome dynamic modeling of telescopic booms,complicated solutions and low accuracy,by introducing high-order characteristic deformations used to represent warpage and distortion of section,a modeling and solution method for telescopic boom dynamics considering cross-sectional deformations was proposed.First,the modeling and solution of the boom section model were completed according to the Hamilton principle and the finite element method.Then,the cross-sectional displacement at the arm joint was analyzed.Under the condition that the difference between the displacement fields of the two booms at the junction was minimum,the displacement field conversion matrix of the boom was established,and the dynamic model of the telescopic boom was constructed.Finally,the natural frequency of the boom calculated by the model was compared with the analysis results of ANSYS,and the numerical calculation of the boom with different geometric parameters and different boundary conditions were performed.The results indicate that the model calculation results are in good agreement with the ANSYS results,the error is within 1.2%.When the modal order is greater than 2,the influence of high-order feature deformation on the modal of the boom cannot be ignored,otherwise the error can be up to 10%.
作者
谢瑶
张磊
唐亚鸣
丁根宏
XIE Yao;ZHANG Lei;TANG Ya-ming;DING Gen-hong(College of Mechanical and Electrical Engineering,Hohai University,Changzhou 213022,China;College of Science,Hohai University,Nanjing 210098,China)
出处
《机电工程》
CAS
北大核心
2021年第1期49-54,68,共7页
Journal of Mechanical & Electrical Engineering
基金
国家自然科学基金资助项目(51805144)
中央高校基本科研业务费专项资金资助项目(KYCX20_0530,B200203151,JGLX19_030,2019B80014)
常州市国际科技合作资助项目(CZ20190018)。
关键词
高阶特征形变
薄壁结构
伸缩臂
动力学特性
有限元分析
higher-order characteristic deformation
thin wall structure
telescopic boom
dynamics characteristics
finite element analysis
