MINIMUM WEIGHT DESIGN OF STRUCTURES.
Final rept. 1 Feb 64-31 Jan 70,
ILLINOIS INST OF TECH CHICAGO DEPT OF MECHANICS
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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
- Structural Engineering and Building Technology