Abstract

The integration of symbolic capabilities into a simulation platform devoted to the analysis of thin plates can provide a greater flexibility in the learning process as it enables to incorporate, to experiment and simulate more complex and user-defined characteristics. With the present work one has built a symbolic simulator for the study of the mechanical behavior of thin plates. These plates, with a rectangular/square basis geometric configuration, are simply supported along its four edges, and can be made from homogeneous or non-homogeneous materials. The capabilities of this platform are briefly illustrated through an illustrative case study.

Highlights

  • The static behaviour of plates is an important issue within the structural engineering field, which possesses transversal competences in Aerospace, Mechanical and Civil Engineering, among others

  • The integration of symbolic capabilities into a simulation platform devoted to the analysis of thin plates can provide a greater flexibility in the learning process as it enables to incorporate, to experiment and simulate more complex and user-defined characteristics

  • With the present work one has built a symbolic simulator for the study of the mechanical behaviour of thin plates

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Summary

INTRODUCTION

The static behaviour of plates is an important issue within the structural engineering field, which possesses transversal competences in Aerospace, Mechanical and Civil Engineering, among others. The availability of tools that enable the analysis of such type of structures without a significant computational cost is an important matter, because in some situations there is no need to use more powerful applications, for instance finite element applications, and because if we are talking about a B.Sc. student, their knowledge about this numerical technique may be more superficial. This simulator can be very useful for M.Sc. students, as it enables the inter-connection of competences between the first cycle and the second cycle educations. With the present simulator, developed in the symbolic computation environment Maple© it is possible to perform static analyses according to the classical bending plate’s theory assumptions, helping to improve broadening the scope of the student’s knowledge

NAVIER METHOD
FUNCTIONALLY GRADED MATERIAL
CASE STUDY
Plate Geometry
Material definition
Load Modelling
Transverse Deflection
Resultant Generalized Forces and Stresses
Concluding Remarks
Full Text
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