Motion based design : solution algorithms to the inverse problem with applications to seismic design
A general solution algorithm to the inverse equilibrium problem is derived. The algorithm finds stiffness coefficients for a given loading and a given set of displacment constraints. Optimization techniques are employed for the statically indeterminate case and for the case of partial displacement specification. The applicability of the method to seismic design of buildings is demonstrated. An inverse eigen-problem is solved for a stiffness distribution that produces a desired fundamental mode shape. The stiffness is then scaled based on the magnitude of the excitation with the use of response spectra. Emphasis is placed on stiffness proportional damping, which can be generated from the physical placement of dampers. Thesis Supervisor: Jerome J. Connor Title: Professor of Civil and Environmental Engineering Acknowledgments I would like to take this opportunity to thank the people to whom I am indebted for this thesis. First of all, I would like to thank my father and mother, Wilfred and Lorraine Gallegos. I would not have had the opportunity to write this thesis, were it not for your financial and emotional support. You have been very supportive of all my efforts without trying to influence any of the decisions I have made. A very heartfelt thanks to my brother and sister, Wilfred Jr. and Anita. You have always been, and will continue to be excellent role models. A special thanks to my advisor Professor Jerome J. Connor for an extremely interesting and challenging research topic. But more importantly, I thank you for helping me find a new direction in life. It was a pleasure working with you. Thanks to Miguel Licona for providing a state space simulator which was used to analyze the designs. I dedicate this thesis to my grandmothers, Corina V. Duran and Lucia Lopez. You provided me with a stable cultural environment and a unique perspective on life. I have always drawn and will continue to draw upon your wise words of wisdom in times of need.
Applications of Active Control
This chapter introduces active and semi-active control systems. We first describe the fundamental differences between active and passive systems. Then, the importance of feedback, computational requirements, and system modelling for active control are discussed. This material is followed by an introductory example involving dynamic feedback control. We also present several active and semi-active device technologies, as well as advanced mitigation schemes including smart materials and hybrid systems.
Optimal seismic‐resistant design of a planar steel frame
This paper illustrates the design of a four-storey, three-bay, moment-resisting, planar steel frame. Non-linear step-by-step integration is used as the analysis technique within the design process itself rather than as a check at the end of the design process. 
 
The method of design directly quantifies the accepted seismic-resistant design philosophy that a properly designed structure: (1) resists moderate ground motion without structural damage, and (2) resists severe ground motion without collapse. Actual ground motion accelerograms are selected and scaled to levels representing moderate and severe ground motions. Constraints quantifying structural damage and limited non-structural damage are constructed for the case of moderate ground motion, along with constraints quantifying collapse and limited structural damage for the case of severe ground motion. In addition serviceability constraints are imposed on structural behaviour under gravity loads only. Objective functions include the minimization of structural volume as well as the minimization of response quantities such as storey drifts and inelastically dissipated energy. 
 
A sophisticated optimization algorithm is utilized to solve the resulting mathematical programming problem. Comparative results concerning the computational phase as well as performance of both preliminary and final designs are presented. The practicality and reliability of the design method are assessed.