• 한국정밀공학회:학술대회논문집
• /
• 한국정밀공학회 2001년도 춘계학술대회 논문집
• /
• pp.479-482
• /
• 2001

An error analysis is very important for a precision machine to estimate its performances. This study proposes a new parallel device. cubic parallel manipulator. There are so many error sources in this mechanism. Errors of the proposed cubic parallel vary with the stiffness of the manipulator. The stiffness of each leg depends on the direction of the actuation force and its direction. In this paper, the stiffness of the manipulator is calculated and the position errors and the orientation errors are predicted with the platform moving. The analysis shows that the method can be used in predicting the accuracy of other parallel devices and in designing a parallel manipulator.

• 한국정밀공학회:학술대회논문집
• /
• 한국정밀공학회 1997년도 추계학술대회 논문집
• /
• pp.397-401
• /
• 1997

An error analysis is very important for a precision machine to estimate its performances. This study deals with error of a new parallel device, cubic parallel manipulator. There are so many error sources in this mechanism. Errors of the cubic parallel device vary depending on the stiffness of the manipulator. The stiffness of each link depends on the directions of the link and actuation force. In this paper, the stiffness of the manipulator is calculated by ARAQUS and the position and orlentation errors are predicted within a given workspace. The analysis shows that the method can be used in predicting the accuracy of other parallel devices and in designing parallel devices.

• Journal of Mechanical Science and Technology
• /
• 제16권6호
• /
• pp.799-809
• /
• 2002

In order to utilize a parallel mechanism as a machine tool component, it is important to estimate the errors of its end-effector due to the uncertainties in parts. This study proposes an error analysis for a new parallel device, a cubic parallel mechanism. For the parallel device, we consider two kinds of errors. One is a static error due to link stiffness and the other is a dynamic error due to clearances in the parts. In this study, we propose a stiffness model for the cubic parallel mechanism under the assumption that the link stiffness is a linear function of the link length. Also, from the fact that the errors of u-joints and spherical joints are changed with the direction of force acting on the link, they are regarded as a part of link errors, and then the error model is derived using forward kinematics. Lastly, both the error models are integrated into the total error, which is analyzed with a test example that the platform moves along a circular path. This analysis can be used in predicting the accuracy of other parallel devices.

• 한국정밀공학회:학술대회논문집
• /
• 한국정밀공학회 2000년도 춘계학술대회 논문집
• /
• pp.699-702
• /
• 2000

In order to use a parallel device fur machine tool feed mechanism, it is very important to analyze its stiffness over the workspace. Generally, the stiffness of a rod varies with its length. In this paper, the stiffness of the leg is modeled as a linear function. With the linear stiffness model, the methods that can determine stiffness bounds and max/min stiffness directions are presented utilizing eigenvalues and eigenvectors of the stiffness matrix. The stiffness variation along a tool-path and stiffness mapping over a workspace are presented with cubic-shaped parallel device which is originally designed for machine tool feed mechanism.

• Structural Engineering and Mechanics
• /
• 제30권1호
• /
• pp.67-76
• /
• 2008

Limit cycle oscillations of a two-dimensional airfoil with quadratic and cubic pitching nonlinearities are investigated. The equivalent stiffness of the pitching stiffness is obtained by combining the linearization and harmonic balance method. With the equivalent stiffness, the equivalent linearization method for nonlinear flutter analysis is generalized to address aeroelastic system with quadratic nonlinearity. Numerical example shows that good approximation of the limit cycle can be obtained by the generalized method. Furthermore, the proposed method is capable of revealing the unsymmetry of the limit cycle; however the ordinary equivalent linearization method fails to do so.

• Steel and Composite Structures
• /
• 제42권4호
• /
• pp.477-487
• /
• 2022

The shear stiffness of headed-stud shear connectors has no unified definition due to the nonlinear characteristics of its load-slip relationship. A unified framework was firstly adopted to develop a general expression of shear load-slip equation for headed-stud shear connectors varying in a large parameter range based on both force and energy balance. The pre- and post-yield shear stiffness were then determined through bilinear idealization of proposed shear load-slip equation. An updated and carefully selected push-out test database of 157 stud shear connectors, conducting on studs 13~30mm in diameter and on concretes 30~180 MPa in cubic compressive strength, was used for model regression and sensitivity analysis of shear stiffness. An empirical calculation model was also established for the stud shear stiffness. Compared with the previous models through statistical analysis, the proposed model demonstrates a better performance to predict the shear load-slip response and stiffness of the stud shear connectors.

• 한국소음진동공학회:학술대회논문집
• /
• 한국소음진동공학회 1998년도 춘계학술대회논문집; 용평리조트 타워콘도, 21-22 May 1998
• /
• pp.143-147
• /
• 1998

In this study, nonlinear stiffness characteristics of a discharge valve in a small hermetic compressor was considered. It was approximated, with piecewise-linearity, and cubic or quintic nonlinearity by the static load-displacement experimental results. Based on the fluid-structure interaction effects and mass flow rate, the derived 1-DOF equation of motion for the valve model was analyzed. Finally, the dynamic response of the discharge valve was studied with parameters such as the ratio of the running frequency of the compressor to the linear natural frequency of the valve.

• International Journal of Precision Engineering and Manufacturing
• /
• 제2권4호
• /
• pp.75-80
• /
• 2001

An error analysis is very important to estimate performance of a precision machine. This study proposes an error analysis for a new parallel device, a cubic parallel device. The cubic parallel manipulator has error sources including upper and lower universal joint errors due to the directional changes in the link and actuation errors. The maximum errors of the end effector are affected by the axial direction changes of each links and the clearances of the universal joints when the parallel manipulator is moving along a path. It is found that the changes of errors mostly occur at the positions where the directions of exerting link forces shift. The error analysis is based on an error model formed from the relation between the universal point errors and the end-effector accuracy. The analysis method can be also used in predicting the accuracy of other parallel devices.

• 전산구조공학
• /
• 제11권1호
• /
• pp.191-204
• /
• 1998

전단변형 효과를 무시하는 경우에 보존력을 받는 박벽공간뼈대구조의 자유진동 및 안정성해석을 위한 일반이론을 유도한다. 이를 위하여 비대칭 박벽단면의 임의점을 통과하는 부재축과 이와 직각을 이루는 두 개의 좌표축을 도입하여 직각좌표계를 정의하고, 이 좌표축을 기준으로 semitangential 회전의 2차항을 고려하는 변위장을 도입하여 연속체에 대한 가상일의 원리로 부터 운동에너지, 탄성변형에너지, 그리고 초기응력에 의한 포텐셜에너지를 유도한다. 이를 이용하여 선형분포하중을 받는 박벽공간뼈대구조의 자유진동 및 안정성해석을 위한 운동방정식을 제시한다. 3차 Hermitian 다항식을 변위파라미터의 형상함수로 사용하여 박벽공간뼈대부재의 질량, 탄성강성 및 기하학적 강성행렬을 산정할 뿐만 아니라, 임의의 위치에 작용하는 분포하중에 대한 하중보정강성행렬(load-correction stiffness matrix)을 제시한다. 본 이론 및 방법의 타당성을 검증하기 위하여 수치해석을 수행하고 문헌의 결과와 비교하여 정당성을 입증한다.

• 한국자동차공학회논문집
• /
• 제9권1호
• /
• pp.171-180
• /
• 2001

Collision accident reconstruction algorithm are developed based on the deformation shape and severity of a car body. At first, the body stiffness equation representing the force-deformation relationship is derived using finite element analysis for head on collision of two cars. The database of deformation shapes and energies is constructed for five different collision configurations; each configuration contains three velocity conditions. Deformation shapes are obtained using a curve fitting method and result in cubic polynomials. Deformation energies are calculated using a stiffness equation and deformation data. Three algorithms are developed to reconstruct collision configuration compared with constructed database. The developed algorithms show reasonably good performance to find collisions conditions for some test problems.