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Optimization of arch and shell structures


Moronval, Marc Jules (1975) Optimization of arch and shell structures. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/EMCP-7017.


Structural optimization of structures with respect to their shape and thickness distribution is studied using a variational approach. The behavioral constraint is either the state of stress or the stiffness. The boundary value problems, derived using Optimal Control theory, are solved with the parallel shooting technique. For statically determinant arches subjected to a uniform pressure, the contribution of the shear force is included in the behavioral constraints to prevent the problems from being singular. For the case of membrane shells of revolution supporting a combined pressure and end traction loading case, solutions were obtained up to a critical value of the load coefficient. A physical interpretation of the singularity is obtained by including the possibility of discrete rings in the formulation. A set of optimality conditions for shells of revolution described by the bending theory, satisfying a stiffness constraint, is derived. The problem is found to be ill posed when the shear contribution is not included in the structural operator.

Item Type:Thesis (Dissertation (Ph.D.))
Subject Keywords:Aeronautics
Degree Grantor:California Institute of Technology
Division:Engineering and Applied Science
Major Option:Aeronautics
Thesis Availability:Public (worldwide access)
Research Advisor(s):
  • Babcock, Charles D. (advisor)
  • Keller, Herbert Bishop (advisor)
Thesis Committee:
  • Unknown, Unknown
Defense Date:31 March 1975
Record Number:CaltechTHESIS:09272010-093909310
Persistent URL:
Default Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:6057
Deposited By: Dan Anguka
Deposited On:27 Sep 2010 22:06
Last Modified:21 Dec 2019 03:58

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