Open AccessSymplectic Solutions in Stress Analysis of Thin Plates
Author(s) -
Weixin Zhang,
Shengqiang Zhou
Publication year - 2020
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 - 10.1088/1742-6596/1676/1/012119
Subject(s) - boundary value problem , symplectic geometry , stress (linguistics) , mathematical analysis , homogeneous , bending , zero (linguistics) , differential equation , mathematics , space (punctuation) , partial differential equation , structural engineering , computer science , engineering , philosophy , linguistics , combinatorics , operating system
Aiming at the common elastic thin plate materials in engineering, the dual control differential equation and the complete solution space composed of zero eigensolution and non-zero eigensolution are established in the state space. On this basis, the non-homogeneous condition of the boundary and the solution method of the non-homogeneous equation are studied systematically. The stress distribution of thin plate bending problem is discussed with an example, and the stress concentration of material under special constraints is analyzed.