scholarly journals Design and Experiment of Rapid Position Control System of Beam Structure Based on Finite Element Method and Inverse Dynamics

1991 ◽  
Vol 27 (2) ◽  
pp. 248-250
Author(s):  
Hiroyuki KOJIMA ◽  
Akihiro MORIDAIRA ◽  
Kikuo NEZU
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Control System ◽  
Inverse Dynamics ◽  
Position Control ◽  
Beam Structure ◽  
Position Control System ◽  
Element Method

An efficient semi-analytical static and free vibration analysis of laminated and sandwich beams based on linear elasticity theory

2021 ◽  
pp. 030932472110626
Author(s):  
Zhao Yin ◽  
Hangduo Gao ◽  
Gao Lin
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Free Vibration ◽  
Mechanical Load ◽  
Geometric Model ◽  
Free Vibration Analysis ◽  
Sandwich Beams ◽  
Beam Structure ◽  
Precise Integration ◽  
Element Method

Based on the two-dimensional (2D) elastic theory without enforcing any beam assumption, an efficient semi-analytical scaled boundary finite element method (SBFEM) is proposed to solve the bending and free vibration responses of composite laminated and sandwich beams under the mechanical load. The scaled center is placed at infinity, which produces the accurate result by discretizing only the longitudinal direction of the beam structure treated as a one-dimensional (1D) discretization problem. A new kind of 1D high-order spectral element shape functions with the advantages of high accuracy and superior convergence is introduced in SBFEM coordinate system to approximate the geometric model and corresponding variables. The principle of weighted residual in conjunction with the Green’s theorem are applied to obtain the SBFEM governing equation of each layer with respect to radial displacement fields. The solution of equation is indicated analytically by a matrix exponential function, which can be accurately solved by using the precise integration technique (PIT). Finally, an effective and simple stiffness matrix is obtained. By comparing two examples with the solutions based on the finite element method (FEM), the results show that the proposed method has good accuracy and rapid convergence with only a few meshes. The numerical examples are given to investigate the parametric effects of the stacking sequence, thickness ratio, boundary condition, and load form on the variation of the displacement, stress and natural frequency. The results validate that the present technique is also applicable to the complex beam structure with softcore layer inside.

Dynamic Finite Element Analysis of the Position Control System of a Two-Link Horizontal Flexible Robot

1990 ◽  
Vol 2 (2) ◽  
pp. 83-90
Author(s):  
Hiroyuki Kojima ◽  
Keyword(s):  
Finite Element ◽  
Control System ◽  
Position Control ◽  
Velocity Curve ◽  
Element Formulation ◽  
Robot Arm ◽  
Flexible Robot ◽  
Element Analysis ◽  
Flexible Arm ◽  
Position Control System

In this paper, a finite element formulation method for a horizontal flexible robot arm with two links is first presented. In the analysis, the kinetic energy of the flexible arm is represented in brief compared with previous methods, and the matrix equation of motion in consideration of the nonlinear forces, such as the Coriolis force, is derived by the finite element method and the variational theorem. Then, the state equation of the mechatronics system consisting of the flexible arm and the position control system is obtained. Secondly, numerical simulations in the case of applying path control based on the trapezoidal velocity curve are carried out by use of the Wilson-<I>θ</I> method, and the effects of the bending rigidity and the shape of the trapezoidal velocity curve on the dynamic characteristics of the mechatronics system are demonstrated.

Coupled Axial-Lateral Dynamic Analysis Using 3-D Riccati-Finite Element Method

1991 ◽  
Author(s):  
Rajagopal Subbiah
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Degrees Of Freedom ◽  
Iterative Technique ◽  
Beam Structure ◽  
Dynamical Characteristics ◽  
Structural Problems ◽  
Rotating Systems ◽  
Algorithmic Procedure ◽  
Element Method

Abstract An improved algorithmic procedure is discussed to obtain the dynamical characteristics of rotating systems applicable to both 2-D and 3-D models. The beam structure has been modeled in 3 dimension representing five degrees of freedom at each node (three translations and two rotations) using the Riccatifinite element method and solved by an iterative technique. This method provides another convenient way of solving a variety of rotating structural problems using personal computers.

Modal Analysis of Ball Screw Drive System by Finite Element Method

2011 ◽  
Vol 464 ◽  
pp. 285-288 ◽  
Author(s):  
Ya Wei Zhang ◽  
Wei Min Zhang
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Modal Analysis ◽  
Position Control ◽  
Drive System ◽  
Mechanical Transmission ◽  
Cnc Machine ◽  
Screw Drive ◽  
Five Axis ◽  
Element Method

Due to raising ability of five-axis CNC machine tools to machine geometrically complex work pieces efficiently and with higher dimensional accuracy, it is necessary to research its mechanical eigenfrequence of mechanical transmission system. Considering the CNC machine tool’s work table runs slowly and has little damp, the system is considered as an invariable system and the whole system is nearly taken as structure in place of mechanism into account; The Finite Element method(FEM) in ANSYS software is presented in this paper to be used for the solution of the modal analysis of screw drive system for CNC machine, an FEM structural model in ANSYS for the system is developed to estimate the modal characteristics effectively and properly here, the results illuminate that vibration forms of the system and the proportional Gain factor in the position control of CNC drive system is estimated.

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