5576

5210

كارشناسي ارشد

سازه

اصفهان: دانشگاه صنعتي اصفهان، دانشكده عمران

1389

نه،103ص.: مصور،جدول،نمودار

ص.ع.به فارسي و انگليسي

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مجتبي ازهري

5/10/89

محمود فرزين، بهروز كوشا

مهندسي عمران

ID5210

به فارسي و انگليسي: قابل رويت در نسخه ديجيتالي

A semi analytical solution of 3D differential equation of thick plate in static and dynamic states by the exponential basis functions Hassan Sabouri h sabouri@cv iut ac ir July 10 2010 Department of Civil Engineering Isfahan University of Technology Isfahan 84156 83111 IranDegree MS c Language FarsiSupervisor Prof Bijan Boroomand boromand@cc iut ac irAbstractIn this dissertation a method based on the use of exponential basis functions method EBFs has been developed forsolving governing differential equations of thick plates in 3D space The reason of using exponential basis functionsis that the governing equations fall in the category of partial differential equations PDEs with constant coefficients In this method the solution to the homogeneous part of differential equations is represented by a linear combinationof exponential basis functions as the fundamental solutions Constant coefficients of the so defined series areevaluated by a discrete transformation capable of satisfying the boundary conditions with high accuracy and with nolimitation on the type of boundary conditions or the shape of boundary edges The parameters in the exponents of the EBFs are found by requiring that the bases satisfy homogeneous tractionboundary conditions at top and bottom of the plate This gives a characteristic equation in terms of a defineddimensionless variable as a function of the original parameters For a given value for such a variable obtained fromthe characteristic equation a set of EBFs is constructible by choosing one of the original parameters in terms ofanother By doing so a wide range of problems with different boundary conditions and frequencies may be solvedprovided that the side boundary conditions are also satisfied For the solution of plates with loading traction at top and bottom surfaces a particular solution has been devised toincorporate the effects The particular solution has much in common with the homogenous solution but of coursewith different parameters in the exponents of the EBFs This is because that the bases must satisfy the homogenousPDEs and obviously not the homogeneous traction conditions However before finding such a particular solutionthe tractions must be expressed in a set of suitable series This is performed by two different approaches i e the useof Fourier series and a series composed of a set of exponential bases The coefficients in the latter series are found

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مجتبي ازهري

محمود فرزين، بهروز كوشا