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Dynamical Studying of Falling Cat Phenomenon

Author: HaoMingWang
Tutor: LiangLiZuo
School: Harbin Engineering University
Course: Aircraft design
Keywords: More rigid body Flexible multi-body Falling cat Nonlinear differential equations
CLC: V211
Type: Master's thesis
Year: 2006
Downloads: 85
Quote: 0
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Abstract


Mechanics of multi-body system is a new branch of the general mechanics . It is divided into multi - body dynamics and flexible multi-body system dynamics , has a strong engineering background and practical value , is widely used in spacecraft dynamics and robot dynamics . The paper first describes the location of the multi-body system mechanics in the natural sciences , the overview of the development of the multi-body system mechanics , then higher rigid body mechanics and analytical mechanics knowledge . Turn off the cat \Also establish flexible multi-body model off the cat , and the flexible multi-body model with Kane equation solution . Which Lagrangian method is analytical mechanics , the Newton Euler method belongs vector mechanics the Kane equation method has both the characteristics of the analytical mechanics , and has the characteristics of vector mechanics . In this paper, the problem-solving process more matrix operations , which not only makes the convenience and ease of computer programming . Matrix method and Kane 's vector method compared to last Kane literature did not give the analytical solution of the nonlinear differential equations , this paper, a semi-analytical solution of the nonlinear differential equations .

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CLC: > Aviation, aerospace > Aviation > Basic theory and experiments > Aerodynamics
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