By using the principle of superposition and Fourier transform the singular integral equations are derived . There are some pole points in the integral path an integral path in the complex plane consisting of four straight lines is adopted .

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Based on transform of coordinate and principle of superposition a generalized Duhamel u2032 s integral formula dealing with moving load problem is established .

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The finite element method and the superposition integral method for computing dynamic stress intensity factors of thick walled cylinder

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The Linear System Analyses by Superposition Integral of Singular Response

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In this paper sufficient condition for absolute stability of time varying control system with superposition of nonlinear elements using the quadratic Liapunov function with integral terms have been given .

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In this paper three solving formulae of mixed problems about heat conduction equations on ray are obtained under . The third second and first boundary conditions by using superposition principle extension method Homogenization principle and Fourier integral transformation as means .

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The accuracy of the superposition integral method is proved theoretically and numerically .

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Antiplane problems considered by means of superposition were separated into a uniform field and an auxiliary field which can be determined by solving resulting boundary value problem with the help of the solutions of dual integral equations .

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Considering superposition of incidence infrared waves integral methods were used to obtain the optimum thickness ( 2 ~ 5nm ) of PtSi thin films within 3-5 u m wavelength which is the result reported for the first time .

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Mode Superposition Method and Duhamel Integral Numeral Solution

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The multiple-edge crack problem of half-plane can be considered as a superposition of many single-edge crack problems . Thus a group of Cauchy singular integral equations can be formulated where the distributing dislocation density serves as the unknown function .

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A Algebraic Method of Computing superposition Integral

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Tai is adopted and then combining the scatter superposition theorem the analytic formulation for the electric dyadic green function of the second kind is derived which is necessary for the analysis to construct the magnetic field integral equations ( MFIE ) .

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Some Relationships of the Three Superposition Integral Formulas in the Special Function Response Methods

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A set of formulas for calculating the approximate values of the convolution and superposition integral is given .

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Both two-dimensional and three-dimensional analysis is performed to prove the feasibility and the precision of the superposition integral method used in calculating the stress intensity factor .

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