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Lyapunov Stability for Four-Story Buildings using the Fundamental Equations of Constrained Motion

Tachakorn Hansawangkit and Thanapat Wanichanon
The Department of Mechanical Engineering, Mahidol University, 25/25 Phutthamonthon 4 Road, Salaya, Nakhon Pathom, 73170, Thailand
Abstract—This paper is concerned with the stability problem of four-story buildings. It is one of important issues for building safety. The Lyapnov stability theory is applied to four-story buildings, which are dynamical systems represented by mass-spring-damper model. The main objective is to analyze control effort to stabilize the mass-spring-damper model of four-story buildings by using the Fundamental Equations of Constrained Motion and Lyapunov theory. In the initial stage, mass-spring-damper models are oscillated freely without any conditions. Then, we want to stabilize the models using Lyapunov theory by adding additional control forces to control motions of four-story buildings. This paper shows the effectiveness of an application of Lyapunov stability theory with the Fundamental Equation of Constrained Motion to four-story buildings. 

Index Terms—Mass-Spring-Damper model, four-story building, the Fundamental Equation, Constraint Equation, Stability, Lyapunov theory

Cite: Tachakorn Hansawangkit and Thanapat Wanichanon, "Lyapunov Stability for Four-Story Buildings using the Fundamental Equations of Constrained Motion," International Journal of Structural and Civil Engineering Research, Vol. 7, No. 3, pp. 269-273, August 2018. doi: 10.18178/ijscer.7.3.269-273
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