The Experts below are selected from a list of 267 Experts worldwide ranked by ideXlab platform
C.c. Hong - One of the best experts on this subject based on the ideXlab platform.
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Free Vibration Frequency of Thick FGM Circular Cylindrical Shells with Simply Homogeneous Equation by Using TSDT
Advances in Technology Innovation, 2020Co-Authors: C.c. HongAbstract:The objective of this study is to provide the frequency solutions of free vibration in thick FGM circular cylindrical shells by mainly considering both shear correction coefficient and nonlinear coefficient term. This paper investigates the effects of third-order shear deformation theory (TSDT) and the varied shear correction coefficient on the free vibration of thick functionally graded material (FGM), the circular cylindrical shells with simply Homogeneous Equation under thermal environment. The approach of derivations are given as follows, the varied value of shear correction coefficient is included in the simple Homogeneous Equation. The nonlinear term of displacement field of TSDT is also included to derive the simply Homogeneous Equation, some reasonable simplifications in the elements of Homogeneous matrix under free vibration of thick FGM circular cylindrical shells are assumed, thus, the natural frequency can be found. Three parameters effect on the frequency of thick FGM circular cylindrical shells are computed and investigated, they are nonlinear coefficient c1 term, environment temperature and power law index. There are some main conclusions obtained, generally the natural frequency results are in decreasing value with the mode shape numbers for the thicker circular cylindrical shells. The values of natural frequencies are also affected by the nonlinear coefficient term.
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Free vibration frequency of thick FGM spherical shells with simply Homogeneous Equation by using TSDT
Journal of the Brazilian Society of Mechanical Sciences and Engineering, 2020Co-Authors: C.c. HongAbstract:The effects of third-order shear deformation theory (TSDT) and varied shear correction coefficient on the free vibration frequency of thick functionally graded material (FGM) spherical shells are investigated with simply Homogeneous Equation under thermal environment. The nonlinear coefficient term of displacement field of TSDT is included to derive the simply Homogeneous Equation with the assumed reasonable simplifications in the elements of Homogeneous matrix under free vibration of thick FGM spherical shells. The determinant of the coefficient matrix in dynamic equilibrium differential Equations under free vibration can be represented into the simply five-degree polynomial Equation; thus, the natural frequency can be obtained. For the preliminary FGM spherical shell study, the effects of nonlinear coefficient term and meridional angle on the varied shear correction coefficient calculation are not considered. The calculated values of shear correction coefficient are increasing with the increase in power law index. Three parametric effects of nonlinear coefficient term, environment temperature and power law index on the frequency of thick FGM spherical shells are computed and investigated for a given meridional angle in the spherical shells. Data in underestimated or overestimated are also investigated in the frequency parameters under free vibration with and without the effects of nonlinear coefficient term, respectively.
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GDQ computation for thermal vibration of thick FGM plates by using fully Homogeneous Equation and TSDT
Thin-Walled Structures, 2019Co-Authors: C.c. HongAbstract:Abstract The third-order shear deformation theory (TSDT) effects on the thick functionally graded material (FGM) plates with fully Homogeneous Equation under thermal vibration are investigated by using the generalized differential quadrature (GDQ) method. The nonlinear coefficient c 1 term of displacement field of TSDT is used to derive the Equations of motion for thermal vibration of thick FGM plates. The dynamic equilibrium differential Equations with TSDT of FGM plates in terms of partial derivatives of displacements and shear rotations subjected to partial derivatives of thermal loads, mechanical loads and inertia terms are derived in matrix forms. Three parametric effects of varied-modified shear correction factor, environment temperature and FGM power law index on the thermal stress and center deflection of FGM thick plates with and without containing the nonlinear coefficient c 1 term are investigated.
Lin Zi-jie - One of the best experts on this subject based on the ideXlab platform.
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A PERTURBATION SOLUTION TO LONGITUDINAL TWISTED NATURAL VIBRATION OF ELASTIC BAR IN THERMAL STATE
Journal of Changde Teachers University, 2000Co-Authors: Lin Zi-jieAbstract:The longitudinal twisted natural vibration of elastic bar under thermal state is studied by using first order perturbation solution to second order linear Homogeneous Equation with big parameter,and the characteristic Equation of its vibration frequency is derivated.Actual caculation indicates that the perturbation solution is exact and simple.
Xia Chun - One of the best experts on this subject based on the ideXlab platform.
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A PERTURBATION SOLUTION OF LONGITUDINALLY TWISTED NATURAL VIBRATION OF ELASTIC BAR UNDER THERMAL STATE
2001Co-Authors: Xia ChunAbstract:The longitudinally twisted natural vibration of an elastic bar under the thermal state is studied by using a first- order perturbation solution of the second- order linear Homogeneous Equation with big parameters,and the characteristic Equation of its vibration frequency is derived.Actual calculations indicate thatthe perturbation solution is both exact and simple.
Joop W. Hovenier - One of the best experts on this subject based on the ideXlab platform.
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Relationship between the polarized radiation fields in externally and internally illuminated Homogeneous planetary atmospheres
Journal of Quantitative Spectroscopy and Radiative Transfer, 1994Co-Authors: W. M. F. Wauben, J.f. De Haan, Joop W. HovenierAbstract:Abstract The Stokes parameters of the polarized radiation in a plane-parallel Homogeneous atmosphere, which is solely illuminated by Homogeneously distributed, isotropically radiating internal sources, are expressed in terms of moments of the Stokes parameters of the polarized radiation in the same atmosphere, but now solely illuminated by unidirectional radiation at its boundaries. This relationship holds for Homogeneous atmospheres with a general law of single scattering and with arbitrary optical thickness. It has already been reported by Domke and Yanovitskij, but a different derivation is presented here. For that purpose we use analytic solutions of the Equation of radiative transfer in the presence of internal sources for conservative and non-conservative scattering. Further, we show that the relationship for conservative scattering can also be obtained from the non-conservative one, by using the eigensolution of the Homogeneous Equation of radiative transfer for weak absorption and taking the limit towards conservative scattering. Finally, we present some numerical illustrations of the accuracy of (i) the eigensolution of the Homogeneous Equation of radiative transfer for weak absorption and (ii) an analytical expression for the radiation deep inside an optically thick Homogeneous conservative atmosphere containing internal sources.
Armin Schikorra - One of the best experts on this subject based on the ideXlab platform.
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Higher Hölder regularity for the fractional p-Laplacian in the superquadratic case
Advances in Mathematics, 2018Co-Authors: Lorenzo Brasco, Erik Lindgren, Armin SchikorraAbstract:Abstract We prove higher Holder regularity for solutions of Equations involving the fractional p-Laplacian of order s, when p ≥ 2 and 0 s 1 . In particular, we provide an explicit Holder exponent for solutions of the non-Homogeneous Equation with data in L q and q > N / ( s p ) , which is almost sharp whenever s p ≤ ( p − 1 ) + N / q . The result is new already for the Homogeneous Equation.