• Transactions of the Korean Society of Mechanical Engineers
• /
• v.8 no.5
• /
• pp.408-415
• /
• 1984

The stress state of orthotropic cylindrical shells subjected to localized loads is considered. The governing equations for orthotropic cylindrical shells are derived on the basis of the Morley-Koiter's isotropic shell theory. It is assumed here that the material has a special orthotropy. Solutions are obtained by the Bijlaard's method in the from of double Fourier series. Numerical examples are presented for cylindrical shells having various orthotropic material properties and shell geometries.

• Steel and Composite Structures
• /
• v.20 no.5
• /
• pp.1043-1066
• /
• 2016

A new analytical solution based on a third order shear deformation theory for the problem of static analysis of cross-ply doubly-curved shells is presented. The boundary-discontinuous generalized double Fourier series method is used to solve highly coupled linear partial differential equations with the mixed type simply supported boundary conditions prescribed on the edges. The complementary boundary constraints are introduced through boundary discontinuities generated by the selected boundary conditions for the derivation of the complementary solution. The numerical accuracy of the solution is compared by studying the comparisons of deflections, stresses and moments of symmetric and anti-symmetric laminated shells with finite element results using commercially available software under uniformly distributed load. Results are in good agreement with finite element counterparts. Additional results of the symmetric and anti-symmetric laminated and sandwich shells under single point load at the center and pressure load, are presented to provide data for the unsolved boundary conditions, benchmark comparisons and verifications.

• The Journal of the Convergence on Culture Technology
• /
• v.9 no.3
• /
• pp.619-624
• /
• 2023

In this paper, TE(transverse electric) scattering problems by a resistive strip grating between a double dielectric layer are analyzed by using the FGMM(fourier galerkin moment method) known as a numerical method of electromagnetic fileld. The boundary conditions are applied to obtain the unknown field coefficients, the scattered electromagnetic fields are expanded in a series of Floquet mode functions, and the resistive boundary condition is applied to analysis of the resistive strip. In order to deal with the problem of the double dielectric layer, numerical calculation was performed only when the thickness and relative permittivity of the dielectric layers had the same value. Overall, as the resistivity of the uniform resistivity increased, the current density induced in the resistive strip decreased, the reflected power decreased, and the transmitted power relatively increased. The numerical results of the structure proposed in this paper are shown in good agreement compared to the results of PMM, a numerical analysis method of the existing paper.

• Smart Structures and Systems
• /
• v.3 no.1
• /
• pp.115-131
• /
• 2007

The electromechanical integrated toroidal drive is a new drive system. For the control of the drive, the torque fluctuation and the steady-state errors should be removed and the fast response to the input change should be achieved. In this paper, the torque fluctuation of the drive system is analyzed and expressed as Fourier series forms. The transfer function of the torque control for the drive system is derived from its electromechanical coupled dynamic equations. A 2-DOF control method is used to control the drive system. Using definite parameter relationship of the 2-DOF control system, the steady errors of the torque control for the drive system is removed. Influences of the drive parameters on the control system are investigated. Using proper drive parameters, the response time of the control system is reduced and the quick torque response of the drive system is realized. Using a compensated input voltage, the torque fluctuation of the drive system is removed as well. The compensated input voltage can be obtained from the torque fluctuation equation and the transfer function. These research results are useful for designing control system of the new drive.

• The Journal of the Institute of Internet, Broadcasting and Communication
• /
• v.23 no.3
• /
• pp.71-76
• /
• 2023

In this paper, TE(transverse electric) scattering problems by a resistive strip grating between a grounded double dielectric layer are analyzed by applying the FGMM(fourier galerkin moment method) known as a numerical method of electromagnetic fileld. The boundary conditions are applied to obtain the unknown field coefficients, the scattered electromagnetic fields are expanded in a series of Floquet mode functions, and the resistive boundary condition is applied to analysis of the resistive strip. Overall, as the resistivity decreased, the magnitude of the current density induced in the resistive strip increased, and the reflected power also increased. In case of uniform resistivity, the reflected power decreased as the relative permittivity of the dielectric layers increased or the thickness of the dielectric layer increased. The numerical results for the presented structure in this paper are shown in good agreement compared to those of the existing papers.

• The Journal of the Convergence on Culture Technology
• /
• v.9 no.3
• /
• pp.641-646
• /
• 2023

In this paper, TM(transverse magnetic) scattering problems by a resistive strip grating between a double dielectric layer are analyzed by using the FGMM(fourier galerkin moment method) known as a numerical method of electromagnetic fileld. The boundary conditions are applied to obtain the unknown field coefficients, the scattered electromagnetic fields are expanded in a series of Floquet mode functions, and the resistive boundary condition is applied to analysis of the resistive strip. Overall, as the uniform resistivity of the resistive strip increased, the size of the current density induced in the resistance band decreased, the reflected power decreased, and the transmitted power increased. In addition, As the thickness of the dielectric layer increased, the reflected power increased and the transmitted power relatively decreased. The numerical results of the structure proposed in this paper are shown in good agreement compared to the results of PMM, a numerical analysis method of the existing paper.

• 한국해양학회지
• /
• v.21 no.4
• /
• pp.259-264
• /
• 1986

The problem of the formation of steady stream of flat bottom boundary is revisited by applying a progressive finite amplitude wave as an external flow. A solution for the boundary layer is found by expanding the boundary equation into double Fourier series. A vertical profile of the stream is obtained as a function of the ratio, h/L, where h and L are the water depth and the wave length. For the best applicable range of the external wave, it is shown that the boundary stream is independent of the fluid viscosity, but a function of the wave parameters and the water depth. The stream velocity of the steady boundary layer flow is proportional to the wave phase velocity and the square of the ratio, H/h, where His the wave height. The magnitude of the velocity is insignificant when h/L is greater than 1/5.

• Transactions of the Korean Society of Mechanical Engineers A
• /
• v.25 no.11
• /
• pp.1802-1812
• /
• 2001

The theoretical method is developed to investigate the effects of ring stiffeners on free vibration characteristics and transient response for the ring stiffened composite cylindrical shells subjected to the impulse pressure Loading. In the theoretical procedure, the Love's thin shell theory combined with the discrete stiffener theory to consider the ring stiffening effect is adopted to formulate the theoretical model. The concentric or eccentric ring stiffeners are laminated with composite and have the uniform rectangular cross section. The modal analysis technique is used to develop the analytical solutions of the transient problem. The analysis is based on an expansion of the loads, displacements in the double Fourier series that satisfy the boundary conditions. The effect of stiffener's eccentricity, number, size, and position on transient response of the shells is examined. The results are verified by comparison with FEM results.

• Proceedings of the Korean Society for Noise and Vibration Engineering Conference
• /
• 1994.04a
• /
• pp.128-133
• /
• 1994

본 논문에서는 이중 푸리에 사인시리즈를 통한 해석법으로 경계조건과 내부 구속조건을 라그랑지 상수들과 스토크 변환법으로 해결하는 방법이며 내부에 변위가 구속되는 평판의 경우에 대하여 FEM 프로그램인 NASTRAN과 본 방법으로 계산한 결과를 고찰하였으며 S-S-S-S의 경계조건에 내부구속조건이 있는 경우 FEM 계산값과 거의 일치하며 F-C-F-F 경우는 5차 모우드에서 최대 3% 정도의 오차를 보이고 있다. 그리고 그 밖의 다른 경계조건의 경우에도 진동해석시 적용이 가능하다. 위의 해석 결과들을 통해 여러 경계조건을 갖는 평판에 내부 구속조건을 갖는 경우 진동해석시 타당한 접근 방법이라 할 수 있다. 앞으로 본 방법을 이용하여 보강판에 여러 경계조건이 구속되어 있는 경우 진동해석에도 이용되어질 수 있다.

• Proceedings of the Acoustical Society of Korea Conference
• /
• spring
• /
• pp.307-310
• /
• 1999

An analysis of the free vibration for the metal-piezoceramic composite thin plates is described. The purpose of this study is to develop a equivalent method for the free vibration analysis of metal-piezoceramic composite thin plates which are not symmetrically about the adhered layer and the piezoelectric effect. In order to confirm the validity of the vibration analysis, double Fourier sine series is used as a modal displacement function of a metal-piezoceramic composite thin plate and applied to the free vibration analysis of the plate under various boundary conditions.