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Analysis of arbitrary Mindlin plates or bridge decks by spline finite strip method. (English) Zbl 0877.73078
Summary: A spline finite strip method for the analysis of arbitrary Mindlin plates is presented. The plate is first mapped into a square domain in the natural coordinate plane, by using the cubic serendipity shape function, and the mapped plate is discretized into a number of strips. The displacements of each strip are described by interpolation functions which are given as products of piecewise polynomials and \(B_3\) spline functions. The method, in which three independent reference quantities, \(w\), \(\theta_x\), \(\theta_y\), are used to take into account the effects of transverse deformation, is applied to the analysis of single and multi-span fan-shaped bridge decks.

74S30 Other numerical methods in solid mechanics (MSC2010)
74K20 Plates
65D07 Numerical computation using splines
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