The formulation of transient axisymmetric boundary-value problems of thermoelasticity for shells of revolution and algorithms for solving them

✍ Scribed by Yu.V Lipovtsev

• Publisher: Elsevier Science
• Year: 2003
• Tongue: English
• Weight: 647 KB
• Volume: 67
• Category: Article
• ISSN: 0021-8928
• DOI: 10.1016/s0021-8928(03)90504-1

✦ Synopsis

Algorithms for solving boundary-value problems and for computing temperature fields and thermal stresses are considered for a certain class of structures whose main element is a thin-walled shell of revolution subject to external pressure under general conditions of unsteady heat exchange with the environment. Within the framework of Meissner's computational scheme [1], a system of differential equations is obtained for the axisymmetric bending of arbitrary shells of revolution, using a linear coordinate along an arc of the meridian. For the joint and simultaneous solution of these equations, with a calculation of the temperature fields in meridional sections of the shell, the heat-conduction equation is obtained in a similar coordinate system with a curvilinear coordinate s along a generator and a coordination y along the normal to the shell surface. Algorithms, obtained using the finitedifference matrix double-sweep method [2-4], are proposed for the practical solution of boundary-value problems to compute the unsteady temperature fields and stresses.