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stable response of low-gravity liquid non-linear sloshing in a circle cylindrical tank

Applied Mathematics and Mechanics(English Edition) 2007年第10期28卷 1273-1285页

作者：贺元军马兴瑞王本利 Center of Satellite Technology Harbin Institute of TechnologyHarbin 150001P.R.China R & DSichuan Aerospace Industry CorporationChengdu 610100 P.R.China China Aerospace Science and Technology Corporation Beijing 100830P.R.China Center of Satellite Technology Harbin Institute of TechnologyHarbin 150001P.R.China

Under pitch excitation, the sloshing of liquid in circular cylindrical tank includes planar motion, rotary motion and rotary motion inside planar motion. The boundaries between stable motion and unstable motion depend on the radius of the tank, the liquid height, the gravitational intension, the surface tensor and the sloshing damping. In this article, the differential equations of nonlinear sloshing are built first. And by variational principle, the Lagrange function of liquid pressure is constructed in volume intergration form. Then the velocity potential function is expanded in series by wave height function at the free surface. The nonlinear equations with kinematics and dynamics free surface boundary conditions through variation are derived. At last, these equations are solved by multiple-scales method. The influence of Bond number on the global stable response of nonlinear liquid sloshing in circular cylinder tank is analyzed in detail. The result indicates that variation of amplitude frequency response characteristics of the system with Bond, jump, lag and other nonlinear phenomena of liquid sloshing are investigated.

关键词： circle cylindrical tank nonlinear sloshing low-gravity multiple scales method stable response

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Analysis on Stability of Centre Axle Trailer Train

Analysis on Stability of Centre Axle Trailer Train

引用

2020中国汽车工程学会年会暨展览会

作者： Li Sheng Xiang Jiandong Chen Xiaokai Zheng Cheng FAWJiefang Automotive Co Ltd School of Mechanical Engineering Beijing Institute of Technology

Considering the system to be 3 degrees of freedom,a simplified mathematical model of centre axle trailer train was presented to analyse the handling *** factors affecting the stability and steering characteristics of centre axle trailer train were obtained according to the stable response under step *** stability and instability interval of the tractor-trailer system were obtained *** usefulness of the model is validated by multibody dynamics *** on the abovementioned model,the influence of the interchangeability of mechanical connection device between the tractor and the trailer on the vehicle stability and the changing trend of the vehicle steering characteristics in the stability interval are *** sensitivity of stability to variations in steering characteristics of tractor,velocity and the distance from trailer’s mass centre to axle is illustrated according to the results.

关键词： centre axle trailer train stability stable response interchangeability

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