A complete Fourier solution to the boundary value problem of static response under transverse load of general cross-ply doubly curved shells of rectangular planform is investigated. Plates are treated a special case of shells. A higher order shear deformation theory (HSDT) based formulation pertaining to laminated shell boundary-value problems is selected because of its inherent accuracy over the well-established classical lamination theory (CLT) and first order shear deformation theory (FSDT). A boundary-discontinuous double Fourier series approach is used to solve a system of five partial differential equations and associated admissible boundary conditions, generated by the HSDT. Unlike the conventional Navier and Levy type approaches, which can provide only particular solutions, the present method is general enough to provide the complete (particular as well as the complementary) solution for any arbitrary combination of admissible boundary conditions with almost equal ease.; Five specific combinations of admissible boundary conditions, (i, ii) SS3 (prescribed on two opposite edges) plus SS2 or C4 (prescribed on the remaining two), and (iii, iv, v) SS1 or SS4 or C4 (prescribed on all four edges), are investigated to illustrate the theory. The first two cases are studied to test the validity of the present approach by applying it to the Levy type boundary conditions. The effect of surface-parallel (or in-plane) boundary conditions on the out-of-plane response of the laminated structure is investigated in the cases (iii) and (iv), while the case (v) is studied to determine the effect of end clamping. A single set of displacement functions is used to model the five unknown displacements and rotations. The numerical accuracy of the solution is ascertained by studying the convergence characteristics of deflections and moments of cross-ply spherical panels. Hitherto unavailable numerical results presented include sensitivity of the predicted response quantities of interest to (cross-ply) lamination asymmetry (bending-extensional coupling), surface-parallel boundary constraint, material properties, thickness (or transverse shear) and curvature (or membrane) effects, as well as their interactions. These numerical results should serve as bench-mark solutions for comparison with those obtained by approximate numerical techniques such as finite element, boundary element, Raleigh-Ritz, etc.
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机译:万向节密封件-具有细长的球形密封表面,该表面可滑入较厚的外表面,以提供防尘密封等。AB DE4036616A两根轴(1、2)通过万向节连接,一根轴(2)装有一个球面联轴器(3)在第二轴的外球面内移动。第二根轴具有细长的球形密封表面(8),该表面在较厚的外表面内滑动。相互交叉的球形密封表面提供了有限的灰尘等进入的密封。密封唇(8a,9)密封了壳体的作用。优势-改进了对万向接头的保护,将砂砾损坏的风险降至最低。 AN 91194459 TI用于转速测量的脉冲环-倾斜的计数器部分沿环的外围压出,与传感器单元相互作用以确定速度和方向