Graduation Year
2006
Document Type
Open Access Senior Thesis
Degree Name
Bachelor of Science
Department
Mathematics
Reader 1
Weiqing Gu
Reader 2
Anthony Bright (Eng.)
Abstract
In this thesis I develop a mathematical model for an apartment building during an earthquake. The movement of the building is restricted to a plane and twisting motions have been assumed negligible. A control system for the building is developed using optimal control techniques. For a quadratic objective functional, the existence of an optimal control is determined and numerical results are generated that show that the controller significantly lowers the chaotic oscillations in the building. The numerical work was done with the Miser3 package for Matlab. Relaxation of different constraints are considered, including multiple controls, varying stories, and different objective functionals.
Recommended Citation
Maples, Kenneth, "Optimal Control of a Building During an Earthquake" (2006). HMC Senior Theses. 184.
https://scholarship.claremont.edu/hmc_theses/184
Picture of Kenneth Maples
kmaples-2005-prop.pdf (32 kB)
Thesis Proposal
kmaples-2005-thesis.pdf (452 kB)
Midyear Report
