Open AccessExact Solution for a Rectangle with Rigidly Clamped Horizontal Sides
Author(s) -
Irina V. Menshova,
Alexander P. Kerzhaev,
T. D. Shulyakovskaya,
Gaoming Yu,
Xian Kui Zeng
Publication year - 2021
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1936/1/012011
Subject(s) - rectangle , eigenfunction , mathematics , boundary value problem , mathematical analysis , elasticity (physics) , simple (philosophy) , exact solutions in general relativity , biorthogonal system , geometry , eigenvalues and eigenvectors , physics , computer science , philosophy , wavelet transform , epistemology , quantum mechanics , artificial intelligence , wavelet , thermodynamics
In this paper, in the form of expansions in Papkovich–Fadle eigenfunctions, an exact solution to the boundary value problem of the theory of elasticity is constructed for a rectangle whose horizontal sides are rigidly clamped. The expansion coefficients are determined with the help of biorthogonal functions by simple formulas.