Theses and Dissertations
Issuing Body
Mississippi State University
Advisor
Bhushan, Shanti
Committee Member
Collins, Eric
Committee Member
Priddy, Matthew
Committee Member
Sescu, Adrian
Date of Degree
5-13-2022
Document Type
Dissertation - Open Access
Major
computational engineering
Degree Name
Doctor of Philosophy (Ph.D)
College
James Worth Bagley College of Engineering
Department
Computational Engineering Program
Abstract
Design of thermoelastic structures can be highly counterintuitive due to design-dependent loading and impact of geometric nonlinearity on the structural response. Thermal loading generates in-plane stresses in a restrained panel, but the presence of geometric nonlinearity creates an extension-bending coupling that results in considerable transverse displacement and variation in stiffness characteristics, and these affects are enhanced in post-bucking regimes. Herein a methodology for structural sizing of thermally stressed post-buckled stiffened panels is proposed and applied for optimization of the blade and hat stiffeners using a gradient-based optimizer. The stiffened panels are subjected to uniform thermal loading and optimized for minimum mass while satisfying stress and stability constraints. The stress constraints are used to avoid yielding of the structure, whereas the stability constraints are used to ensure static stability. Corrugation of the hat stiffeners is also studied through variation of its magnitude and position. A continuation solver has been validated to tackle the highly nonlinear nature of the thermoelastic problem, and formulations for the stability constraints have been derived and imposed to satisfy the static stability of the structure. The study confirms that geometric nonlinearity is an important aspect of sizing optimization and is needed for an accurate modeling of the structural behavior. The results also show that modeling of geometric nonlinearity adds extra complexity to the thermoelastic problem and requires a path-tracking solver. Finally, this work supports that corrugation enhances the stability features of the panel but requires a blending function to reduce stresses at the panel boundaries.
Recommended Citation
Arsalane, Walid, "Structural sizing of post-buckled thermally stressed stiffened panels" (2022). Theses and Dissertations. 5396.
https://scholarsjunction.msstate.edu/td/5396
Included in
Applied Mechanics Commons, Heat Transfer, Combustion Commons, Structures and Materials Commons