A platform for research: civil engineering, architecture and urbanism
A platform for research: civil engineering, architecture and urbanism
STABILITY OF TRUNCATED CIRCULAR CONICAL SHELL EXPOSED TO AXIAL COMPRESSION
The problem of stability of a freely supported truncated circular conical shell, compressed by the upper base of a uniformly distributed load per unit length t, referred to the median shell surface and directed along the generatrix of the cone, was solved by the Ritz-Timoshenko energy method. The orthogonal system of curvilinear coordinates of the points of the middle surface of the shell was adopted to solve the problem. Possible displacements were selected in the form of double series approximation functions. The physical principle of inextensible generatrix of the cone exposed to buckling at the moment of instability was employed. In addition, the fundamental principle of continuum mechanics, or the principle of minimal total potential energy of the system, was taken as the basis. According to the linear elasticity theory, energy methods make it possible to replace the solution of complex differential equations by the solution of simple linear algebraic equations. As a result, the problem is reduced to the problem of identifying the eigenvalues in the algebraic theory of matrices. The numerical value of the critical load was derived through the employment of the software.
STABILITY OF TRUNCATED CIRCULAR CONICAL SHELL EXPOSED TO AXIAL COMPRESSION
The problem of stability of a freely supported truncated circular conical shell, compressed by the upper base of a uniformly distributed load per unit length t, referred to the median shell surface and directed along the generatrix of the cone, was solved by the Ritz-Timoshenko energy method. The orthogonal system of curvilinear coordinates of the points of the middle surface of the shell was adopted to solve the problem. Possible displacements were selected in the form of double series approximation functions. The physical principle of inextensible generatrix of the cone exposed to buckling at the moment of instability was employed. In addition, the fundamental principle of continuum mechanics, or the principle of minimal total potential energy of the system, was taken as the basis. According to the linear elasticity theory, energy methods make it possible to replace the solution of complex differential equations by the solution of simple linear algebraic equations. As a result, the problem is reduced to the problem of identifying the eigenvalues in the algebraic theory of matrices. The numerical value of the critical load was derived through the employment of the software.
STABILITY OF TRUNCATED CIRCULAR CONICAL SHELL EXPOSED TO AXIAL COMPRESSION
Litvinov Vladimir Vital'evich (author) / Andreev Vladimir Igorevich (author) / Chepurnenko Anton Sergeevich (author)
2012
Article (Journal)
Electronic Resource
Unknown
Metadata by DOAJ is licensed under CC BY-SA 1.0
On free vibration of a rotating truncated circular orthotropic conical shell
| British Library Online Contents | 1999
Large Deformation Model of Flat-topped Conical Shell under Axial Compression
| British Library Online Contents | 2000
Stability analysis of joined isotropic conical shells under axial compression
| Online Contents | 2013
First-order GBT for truncated conical shells with circular cross-section
| Elsevier | 2024