Rocking properties and overturning risk of a freestanding package excited by longitudinal shock
ZHU Dapeng1，CAO Xingxiao2，QI Zhenmin3
1.School of Traffic and Transportation, Lanzhou Jiaotong University, Lanzhou 730070, China;
2.School of Mechanical Engineering, Lanzhou Jiaotong University, Lanzhou 730070, China;
3.School of Electronic and Information Engineering, Lanzhou Jiaotong University, Lanzhou 730070, China
Abstract：In cargo transportation, the large-scale freestanding package may overturn under longitudinal shock condition, this may lead to catastrophic consequences. Therefore, the analysis of overturning risks of freestanding package under longitudinal shock condition is critical to the package transportation safety. In this paper, the 3-parameter piece-wise function based on exponential expression is used to simulate single-lobe bell-shape shock acceleration produced by vehicle braking, the package is modeled by rigid rectangle block, the rocking motion equation of package is formulated. For small width-height ratio package, the rocking motion equation is linearized, the rocking response equation and overturning boundary condition are obtained analytically under β≠pT and β=pT conditions respectively, the analytical results indicate the freestanding package is more prone to overturn in free response phase. For non-slender package, the package rocking motion equation is rewritten in energy representation form, the approximation method for overturning boundary condition estimation is formulated. The numerical simulation results indicate the accuracy of this estimation method is acceptable.
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