6533b85bfe1ef96bd12ba240

RESEARCH PRODUCT

Innovative straight formulation for plate in bending

Antonina PirrottaChristian Bucher

subject

Line Element-less MethodDiscretizationbusiness.industryMechanical EngineeringPlate bendingMathematical analysis02 engineering and technologyStructural engineeringBending of plates01 natural sciencesFinite element methodComputer Science Applications010101 applied mathematicsHarmonic polynomial020303 mechanical engineering & transportsSoftware0203 mechanical engineeringDeflection (engineering)Modeling and SimulationGeneral Materials Science0101 mathematicsbusinessCivil and Structural EngineeringMathematics

description

In this paper it has been introduced an innovative formulation for evaluating the deflection function of a simply supported plate loaded by uniformly distributed edge moments. Framed into Line Element-less Method, this formulation allows the evaluation of solution in terms of deflection, through few lines of algorithm implemented by Mathematica software without resorting to any discretization neither in the domain nor in the boundary. Interesting savings in terms of time and computational costs are achieved. Results obtained by the proposed method are well contrasted by ones obtained by classical methods and Finite Element Method.

https://doi.org/10.1016/j.compstruc.2016.01.004