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葡萄果实在压缩载荷作用下的力学模型(英)
引用本文:王荣,魏德强,焦群英. 葡萄果实在压缩载荷作用下的力学模型(英)[J]. 农业工程学报, 2006, 22(10): 26-30
作者姓名:王荣  魏德强  焦群英
作者单位:1. 桂林电子工业学院机电与交通工程系,桂林,5410041
2. 中国农业大学理学院,北京,100083
摘    要:建立了葡萄的非线性力学模型。把葡萄简化成球形的、均匀的、各向同性的和内部充满不可压缩液体的弹性膜。研究了葡萄在压缩载荷作用下的应力分布和变形。利用膜理论建立了接触区域与非接触区域的平衡方程,确定了边界条件与连续条件。利用Runge-Kutta方法,进行数值求解,得到了在压缩载荷作用下葡萄的张力。结果表明:在压缩载荷作用下,葡萄纬线方向的张力大于经线方向的张力,最大拉力发生在赤道平面上,葡萄在压缩载荷作用下的损伤主要是由最大拉应力造成的,该结论与试验观察的结果相一致。

关 键 词:葡萄  机械损伤  压缩载荷    拉应力
文章编号:1002-6819(2006)10-0026-05
收稿时间:2006-01-18
修稿时间:2006-06-17

Mechanical model of grape under compression load
Wang Rong,Wei Deqiang and Jiao Qunying. Mechanical model of grape under compression load[J]. Transactions of the Chinese Society of Agricultural Engineering, 2006, 22(10): 26-30
Authors:Wang Rong  Wei Deqiang  Jiao Qunying
Affiliation:(1965-), Ph.D., Lecturer. Department of Electronic Machinery and Transportation Engineering, Gulin University of Electronic Technology, Guilin541004, China. Email:wr6056@sina.com;Department of Electronic Machinery and Transportation Engineering, Guilin University of Electronic Technology, Guilin 541004, China;(1948-) Ph.D., Professor, Dept. Applied Mechanics, College of Science, China Agricultural University, Beijing 100083, China. Email:Jiaoqy@cau.edu.cn
Abstract:A nonlinear mechanical model of grape was constructed. The grape was assumed as a spherical homogeneous, isotropic elastic membrane, which was fully-filled with incompressible, high viscous liquid. The stress distribution and deformation of grape under compression load by two rigid plates were studied. The equilibrium equations for contacted regions and non-contacted regions were obtained by using the theories of membrane. The boundary conditions and continuity conditions for the solution of the differential equations were determined.The tension of grape skin under compression load was analyzed numerically, usingRunge-Kutta iteration method. The results indicate that the stress in circumference is greater than that in the meridian direction. The failure of grape under compressive load was mainly caused by the maximal stretch stress which occurred at the equator. The results are consistent with the previous experimentalobservations.
Keywords:grape  mechanical damage  compression load  membrane  stretch stress
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