It is often hard to obtain analytical solutions of boundary value problems of shells. Introducing some approximations into the governing equations may allow us to get analytical solutions of boundary value problems. Instead of an analytical procedure, we can apply a numerical method to the governing equations. Since the governing equations of shells of revolution under symmetric load are expressed by ordinary differential equations, a numerical solution of ordinary differential equations is applicable to solve the equations. In this paper, the governing equations of orthotropic spherical shells under symmetric load are derived from the classical theory based on differential geometry, and the analysis is numerically carried out by computer program of Runge-Kutta methods. The numerical results are compared to the solutions of a commercial analysis program, SAP2000, and show good agreement.

The purpose of this paper is to study the buckling characteristics of elliptical latticed domes under conservative loading conditions. The latticed domes are usually designed in geometrically spherical shape. For this type of latticed domes, many researchers have researched and even the simplified estimation codes for the buckling load level have been available. However, geometrically elliptical latticed domes have been often constructed, and show different buckling characteristics following with geometrical parameters as rise-to-span ratio and so on. Therefore, it is necessary to investigate the general tendency of buckling characteristics of the elliptical latticed domes. In this paper, to find out some buckling characteristics of elliptical latticed domes, height, boundary configuration and gap are used as the shape coefficients. For each model with different parameters, the eigen values and the buckling loads are evaluated.

The basic systems of spatial structures such as shells, membranes, cable-nets and tensegrity structures have been developed to create the large spaces without column. But there are some difficulties concerning structural stability, surface formation and construction method. Tensegrity systems are flexible structures which are reticulated spatial structures composed of compressive members and cables. The rigidification of tensegrity systems is related to selfstress states which can be achieved only when geometrical and mechanical requirements are simultaneously satisfied. In this paper, the force density method allowing form-finding for tensegrity systems is presented. And various modules of unit-structures are investigated and discussed using the force density method. Also, a model of double-layered single curvature arch with quadruplex using supplementary cable is presented.

Pressure loads caused by gas, water and wind are the most important load cases in structural analysis. Often the pressure loads are approximated by constant directional loads since it is difficult to evaluate the exact value. However, the pressure load is defined as a displacement dependent one and it is necessary to consider the follower effects of the load in analysis procedure. In this study, the large deformation analysis considering geometrical nonlinearity for shell structures under pressure loads is presented. Finite element by using a three-node flat triangular shell element is formulated and the follower effects of the pressure load are included in the formulation. Some of results are presented for cantilevered beam under uniform external pressure and thin circular ring under non-uniform external pressure. The present results are in good agreement with the results available in existing literature and commercial software ABAQUS.

The structures with many perforated openings are widely used as a load-carrying element in the fields of civil engineering works, top slab of prestressed concrete reactor vessel, petrochemical industries and the like. Perforated concrete plates are usually thick. Therefore, the effect of transverse shear deformation is not negligible. This paper describes a new analytical method of perforated plates combining both the finite element method for effective elastic constants and the usual method in solving orthotropic plate with transverse shear deformation.

In this paper, a study of 2-step damage detection for space truss structures using the extended Kalman filter theory is presented. Space truss structures are composed of many members, so it is difficult to find damaged member from the whole system. Therefore, 2-step damage identification method is applied to detect the damaged members. First, kinetic energy change ratio is used to find damage region including damaged member and then detect damaged member using extended Kalman filtering algorithm in damage region. The effectiveness of proposed method is verified through the numerical examples.

This paper is a study on the elasto-plastic analysis of reinforced concrete precast large panel connections by rigid element spring model. In the analysis of rigid element spring model, each collapsed part or piece of structures at limiting state of loading is assumed to behave like rigid bodies. The present author propose new elements for the improement and expansion of the rigid element spring model. In this study, it is proposed how the rigid element method can be applied to the elesto-plastic analysis of precat large panel connections. Some numerical results of analytical modeling and load displacement curves are shown.

The structural behaviors of anisotropic laminated shells are quite different from that of isotropic shells, Also, the classical theory of shells based on neglecting transverse shear deformation is invalid for laminated shells. Thus, to obtain the more exact behavior of laminated shells, effects of shear deformation should be considered in the analysis. As the length of x-axis or y-axis is increase, the effects of transverse shear deformation are decrease because the stiffness for the axis according to the increasing of length is large gradually. In this paper, the governing equations for anisotropic laminated shallow shell including the effects of shear deformation are derived. And then, by using Navier's solutions for shallow shells having simple supported boundary, extensive numerical studies for anisotropic laminated shallow shells were made to investigate the effects of shear deformation for 3 typical shells. Also, static analysis is carried out for cross-ply laminated shells considering the effects of various geometrical parameters, e,g., the shallowness ratio, the thickness ratio and the ratio of a(length of x-axis)-to-b(length of y-axis). The results are compared with existed one and show good agreement.

In general, the cutting pattern of the membrane structures is determined by dividing the complicated curved 3-D surface into several 2-D plane strip by using flattening technique. In this procedure, however, some discrepancies ore occurred between actual stresses of equilibrated state and designed uniform stresses because the material properties are not considered. These deviations can cause the critical structural problems, wrinkling or overstress, and thus a optimization process should be considered. In this paper, a new analytical method for determining an optimum cutting pattern considering material properties is presented. Here, iterative procedure is introduced to decrease the errors caused in numerical process. The optimization method proposed can diminish the deviations occurred by material properties and numerical errors, simultaneously. As a results, it is shown that the final stress distributions for the HP shell model are sufficiently near to design stress distributions, and it can be concluded that this method can be used to obtain the optimized cutting pattern of membrane structures.

A system of equations is developed for the theory of bending of thick orthotropic elastic plates which takes into account the transverse shear deformability of the plate. This system of equations is of such nature that three boundary conditions can and must be prescribed along the edge of the plate, i.e. ω=0, Mx=0, Mxy=0(ω=O, My=O, Mxy=0) at simple supported edges. It can be obtained general solution that is added complementary solution ωe and paticular solution ωp by an assumption of solution function. In the next paper, this analytical results will be obtained for perforated thick plates.

쉘형 구조물의 동적 불안정 문제를 다룬 연구결과는 다소 발표되고 있으나, 위상면을 이용하여 카오스 생성에 관해 기본적 현상을 다룬 연구는 아직 없는 실정이다. 동적 비선형 문제에서, 여러 가지 초기조건에 의해 불안정 현상이 민감하게 발생하는 이유를 파악하기 위해 위상면에서의 끌개의 특성을 조사하여 동적 불안정 생성과정을 검토하는 일은 매우 중요하다. 본 연구에서는 기하학적 비선형을 고려한 얕은 아치의 직접/간접 좌굴을 수치적 기법으로 조사하고, 이를 정적 좌굴하중과 비교한다.

쉘형 구조물의 불안정 현상은 크게 뜀좌굴과 분기좌굴로 분류할 수 있다. 이들은 구조물의 형상특성, 특히 형상 초기불완전에 대해 매우 민감하게 반응한다. 본 연구에서는, 형상 초기불완전을 가진 쉘형 구조물의 불안정 거동을 파악하기 위해 양단이 힌지로 고정된 얕은 정현형 아치의 평형경로를 조사한다. 비선형 방정식을 얻기 위해 Galerkin법을 이용하였으며, 증분형 방정식으로의 변환은 섭동법을 이용하였다.

최근, 텐세그러티(tensegrity)구조개념을 적용한 대공간구조시스템인 케이블돔구조는 구조물 전체의 관점에서는 하나의 자기평형상태를 만족하는 구조로서 돔과 같이 닫힌형상(closed form)의 구조에는 유리한 구조시스템이지만, 보울트(vault)와 같은 열린형상(openform)의 구조에는 적용상 문제가 있다. 따라서, 본 논문에서는 이 문제를 해결하는 방안중의 하나로서, 안정화된 단위요소를 이용하여 장력안정트러스의 기본요소인 단위구조의 안정화를 지배하는 기하학적 매개변수들의 범위를 설정하는 방법이 제안되고 그 변수들의 상호관련성을 규명하고자 한다. 수치해석은, .alpha.가 안정화범위에 있을 경우, 여러가지 경우의 높이에 따른 중심위치(.alpha.), 트러스 부재에 의한 각(.theta.) 그리고 평면상의 비(x/y)와 같은 매개변수의 변화에 따라 안정화에 가장 지배적인 축력모드(N15, N16, N25, N26)들의 상호작용이 조사되었다.

圓商管에 휩모멘트가 작용하면 변형후 단연은 橋圓형 상을 갖 게 된다. 단면의 타원화에 의해 단면이 감소하 게 되면 휩강성이 감소하게 되며， 따라서， 챔모멘트-꼭률관계가 倚重뻐減젠으로 된다. 이 휩강성의 감소 현상 을 Brazier 이 론 또는 Brazier 현상이라고 한다. 적층평판에 있어서도 각충의 재료상수가 뚜렷하게 다른 경우 원통관에서의 Brazier 현상과 유사한 현상이 발생한다. 본 논문에서는 평판에서익 Brazier 현상을 규명하기 위하여 3층 적충모델을 만틀어 zt 층의 재료정 수가 현저히 다른 경 우 어떠한 현상이 일어나는 가롤 실험적으로 규명하였고， 이론해석을 위하여 스프링모덴 을 사용하였다. 본 논문의 모델에서 알 수 있듯이 중간충의 재료상수가 상하충 요소의 재료상수 보다 뚜넷하 게 작은 경우 중간층의 지똥이 현저히 크게됨을 알 수 있었다. 즉， 본 논문에서 채택한 모델의 정우에 있어서 도 원통판에서 일어나는 Brazier 현상이 일어나고 있음이 실험적 그리고 해석적으로 규명되었다.