scholarly journals Method for analysis of planar motion of system with rigid and extremely flexible components via analogy with contact problem of rigid bodies

2021 ◽  
Author(s):  
Shuntaro OOSHIMA ◽  
Yoshiki SUGAWARA
Keyword(s):  
Contact Problem ◽  
Rigid Bodies ◽  
Planar Motion ◽  
Flexible Components

scholarly journals Method of transmission matrix for investigating planar relative motions

2007 ◽  
Vol 29 (2) ◽  
pp. 105-116
Author(s):  
Do Sanh ◽  
Do Dang Khoa
Keyword(s):  
Mechanical Systems ◽  
Rigid Bodies ◽  
Planar Motion ◽  
Transmission Matrix ◽  
Composite Joints ◽  
The One ◽  
Complex Mechanical Systems ◽  
Relative Motions

In the paper [2] the method of transmission matrix applying for the case of a loop with turning pairs investigated. In the present paper the kinematics of a loop connected by composite joints, i.e. the one of revolute-translational joints are discussed now. By means of proposed method the planar motion of rigid bodies is presented by a point of general view.Especially, the introduced method allows to apply effectively universal software, for example, MATCAD, MAPLE, ... for investigating complex mechanical systems.

Synthesis of Complex Cam Mechanisms

1974 ◽  
Vol 188 (1) ◽  
pp. 647-656 ◽  
Author(s):  
G. F. Fawcett ◽  
J. N. Fawcett
Keyword(s):  
Rigid Bodies ◽  
Rolling Contact ◽  
Planar Motion ◽  
Complex Profile ◽  
Kinematic Behaviour

General equations are developed describing the kinematic behaviour of two rigid bodies in contact. The case of planar motion is then considered in more detail and the equations are developed in a form which is useful in synthesizing cam mechanisms. Examples of the application of the general equations to synthesizing the profiles of rolling contact cams and of cam profiles for use with flat and circular followers are given. Use of the general equations in cases where the follower has a complex profile is also described.

A Four-Rigid-Body Element Model and Computer Simulation for Flexible Components of Wind Turbines

2011 ◽  
Author(s):  
Songyi Jiang ◽  
Shanzhong Shawn Duan
Keyword(s):  
Rigid Body ◽  
Wind Turbines ◽  
Degrees Of Freedom ◽  
Initial Conditions ◽  
Element Model ◽  
Rigid Bodies ◽  
Degree Of Freedom ◽  
Horizontal Axis Wind Turbine ◽  
Body Element ◽  
Flexible Components

In this paper, a four-rigid-body element model is presented for description of flexible components of a horizontal axis wind turbine (HAWT). The element consists of four rigid bodies arranged in a chain structure fashion. The bodies of each element are linked by two universal joints at two ends, and one cylindrical joint at the middle. Thus each element has six degrees of freedom. They are four degrees of freedom for bending, one degree of freedom for torsion, and one degree of freedom for axial stretching. For each degree of freedom, a spring is used to describe the stiffness of the component. Stiffness of each spring is obtained by using potential energy equivalence between a Timoshenko beam and these springs. With these considerations, flexible components of a HAWT such as blades and tower may then be represented by connecting several such elements together. Based on four-rigid-body element model, the tower and blades of a HAWT are constructed. Their equations of motion are then derived via Kane’s dynamical method. Commercial computational multibody dynamic analysis software Autolev has been used for motion simulation of tower and blades under given initial conditions. Simulation results associated with the tower indicate that four-rigid-body element model is suitable for analysis of dynamic loads, modal, and vibration of wind turbines with respect to fixed and moving references at high computational efficiency and low simulation costs. The approach is also a good candidate for simulating dynamical behaviors of wind turbines and preventing their fatigue failures in time domain.

A Finite Element Solution for Frictional Sliding Contact between Hyper-Elastic and Rigid Bodies

2013 ◽  
Vol 873 ◽  
pp. 445-455
Author(s):  
Ya Bin Chen
Keyword(s):  
Finite Element ◽  
Contact Problem ◽  
Frictional Contact ◽  
Nonlinear Behavior ◽  
Contact Problems ◽  
Rigid Bodies ◽  
Frictional Contact Problem ◽  
Lagrange Formulation ◽  
Hyper Elastic ◽  
Lagrange Approach

This paper is devoted to the analysis of frictional contact problems with large deformations and displacements between hyper-elastic body and rigid body. The material nonlinearity and contact nonlinearity are separated and, the geometrically nonlinear behavior is described by the total Lagrange formulation. The Coulomb friction law is employed to simulate the friction between rigid vessel and rubber by the use of augmented Lagrange approach with node-to-segment formulation. A formulation of finite element is taken in this paper to describe the frictional contact problem, which is solved by the Newton-Raphson iterative procedure. It is shown that the augmented Lagrange technique significantly avoids locking and over-constraining and provides optimal convergence rate. Finally, the numerical results show that the accuracy and efficiency of augmented Lagrange approach in modeling large deformation frictional contact problem.

On the planar motion of rigid bodies with point contact

1986 ◽  
Vol 21 (6) ◽  
pp. 453-466 ◽  
Author(s):  
Chun Sheng Cai ◽  
Bernard Roth
Keyword(s):  
Point Contact ◽  
Rigid Bodies ◽  
Planar Motion
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