Abstract
Five groups of construction schemes for the generalized conforming thin plate elements are proposed in Sect. 5.4. This chapter discusses the first three groups: (1) line conform ing scheme (Sect. 6.1); (2) line-point conforming scheme (Sects. 6.2 and 6.3) and super-basis line-point conforming scheme (Sect. 6.4); and (3) super-basis point conforming scheme (Sect. 6.5) and SemiLoof conforming scheme (Sect. 6.6). Formulations of 13 triangular, rectangular and quadrilateral generaliz ed conforming thin plate elements, which are constructed by the above schemes, are introduced in detail. The elements formulated in Sects. 6.1 to 6.3 belong to the equal-basis elements, in which the number m of the unknown coefficients or basis functions in an interpolation formula for the element deflection field equals to the number n of DOFs. And, the elements formulated in Sects. 6.4 to 6.6 belong to the super-basis elements, in which m>n. Numerical examples show that these models exhibit excellent performance in the analysis of thin plates. This denotes that the difficulty of C 1 continuity problem can be solved completely.
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© 2009 Tsinghua University Press, Beijing and Springer-Verlag GmbH Berlin Heidelberg
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Long, ZF., Cen, S. (2009). Generalized Conforming Thin Plate Element II—Line-Point and SemiLoof Conforming Schemes. In: Advanced Finite Element Method in Structural Engineering. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-00316-5_6
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DOI: https://doi.org/10.1007/978-3-642-00316-5_6
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