• Kyungpook Mathematical Journal
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• v.31 no.1
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• pp.1-11
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• 1991

• Journal of the Korean Mathematical Society
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• v.29 no.2
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• pp.297-315
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• 1992

• Kyungpook Mathematical Journal
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• v.25 no.2
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• pp.113-117
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• 1985

• Proceedings of the Optical Society of Korea Conference
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• 1996.09a
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• pp.60-60
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• 1996

• East Asian mathematical journal
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• v.11 no.2
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• pp.207-221
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• 1995

• Journal of the Chungcheong Mathematical Society
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• v.7 no.1
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• pp.227-236
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• 1994

• East Asian mathematical journal
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• v.7 no.2
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• pp.109-117
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• 1992

• Proceedings of the Korean Institute of Intelligent Systems Conference
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• 1998.10a
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• pp.37-43
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• 1998

• International Journal of Automotive Technology
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• v.6 no.4
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• pp.375-381
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• 2005

This paper presents linear algebraic equations in the form of recursive formula to compute elastokinematic characteristics of a suspension system. Conventional methods of elastokinematic analysis are based on nonlinear kinematic constrant equations and force equilibrium equations for constrained mechanical systems, which require complicated and time-consuming implicit computing methods to obtain the solution. The proposed linearized elastokinematic equations in the form of recursive formula are derived based on the assumption that the displacements of elastokinematic behavior of a constrained mechanical system under external forces are very small. The equations can be easily computerized in codes, and have the advantage of sharing the input data of existing general multi body dynamic analysis codes. The equations can be applied to any form of suspension once the type of kinematic joints and elastic components are identified. The validity of the method has been proved through the comparison of the results from established elastokinematic analysis software. Error estimation and analysis due to piecewise linear assumption are also discussed.

• Journal of applied mathematics & informatics
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• v.29 no.1_2
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• pp.145-159
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• 2011

The numerical solution to the linear and nonlinear and linear system of Fredholm and Volterra integral equations of the second kind are investigated. We have used crooked lines which includ the nodes specified by modified rationalized Haar functions. This method differs from using nominal Haar or Walsh wavelets. The accuracy of the solution is improved and the simplicity of the method of using nominal Haar functions is preserved. In this paper, the crooked lines with unknown coefficients under the specified conditions change the system of integral equations to a system of equations. By solving this system the unknowns are obtained and the crooked lines are determined. Finally, error analysis of the procedure are considered and this procedure is applied to the numerical examples, which illustrate the accuracy and simplicity of this method in comparison with the methods proposed by these authors.