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Plate bending elements using exact internal interpolations

机译:使用精确的内部插值板弯曲元件

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Plates and shells are fundamental components in most areas of structural engineering, and their analysis and design pose severe challenges to engineers, particularly in the area of aeronautics where structures need to be light. The basic equations describing the behaviour of shells are well-established [1]. However, their solution in practical applications is formidable, and thence a numerical solution is usually required. The finitie element method is today the dominant method used for solving a vast range of practical engineering problems. Given its motivation and origins in structural engineering applications [7], it is not surprising that plate and shell analysis has occupied a pivotal role in the development of finite element theory [8].
机译:板材和贝壳是结构工程的大多数领域的基本组件,以及他们的分析和设计对工程师来说是严重的挑战,特别是在结构需要光的航空领域。描述壳体行为的基本方程是完整的[1]。然而,它们在实际应用中的解决方案是强大的,因此通常需要数值溶液。今日有限元方法是解决广泛实用工程问题的主导方法。鉴于结构工程应用中的动机和起源[7],板材和壳体分析在有限元理论的发展中占据了关键作用并不令人惊讶于[8]。

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