MINIMUM WEIGHT DESIGN OF STRUCTURES.
Abstract
An approach originally used to reveal the highly singular nature of the problem of minimum weight design has been developed, in various ways, into self contained powerful methods which proved capable of solving much more complicated problems than had been attacked prior to 1964. The essence of the method lies in the possibility of expressing the weight to be minimized as a functional, over the whole structure, of the relevant generalized stresses. The stresses which minimize it are called 'minimal' and are found by some variational process, either classical or novel. The method has been named 'statical' because it uses only statical considerations, in contrast to that of constant energy dissipation in which kinematical considerations are also required. The statical method has by now been adapted and applied to the rigorous solution and the exhaustive investigation of minimum volume design problems in beam structures, plates and shells. Its contributions to the advancement in this field are listed. All problems mentioned are completely solved, even if they have not yet been submitted for publication or written up in the form of papers. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jan 01, 1970
- Accession Number
- AD0701924
Entities
People
- George J. Megarefs
Organizations
- Illinois Institute of Technology