TAILIEUCHUNG - On the design of an optimum active mass-spring-inverted pendulum dynamic vibration absorber for the inverted pendulum type structure

The paper presents a design of an active massspring-inverted pendulum DVA for the inverted pendulum type structure in case the external force is white noise process. The design is based on the optimum passive DVA as carried out in [4] and apply the optimum control force by minimizing the performance index. | Vietnam Journal of Mechanics, VAST, Vol. 30, No. 4 (2008), pp. 329 – 335 Special Issue of the 30th Anniversary ON THE DESIGN OF AN OPTIMUM ACTIVE MASS-SPRING-INVERTED PENDULUM DYNAMIC VIBRATION ABSORBER FOR THE INVERTED PENDULUM TYPE STRUCTURE Nguyen Chi Sang, Nguyen Cao Thang National Research Institute of Mechanical Engineering, Hanoi, Vietnam Abstract. A Dynamic Vibration Absorber (DVA) is appropriate equipment for vibration control in many kinds of engineering. In general, there are two main types of DVAs: the passive DVAs and the active DVAs. The paper presents a design of an active massspring-inverted pendulum DVA for the inverted pendulum type structure in case the external force is white noise process. The design is based on the optimum passive DVA as carried out in [4] and apply the optimum control force by minimizing the performance index. Numerical simulation which is done for an inverted pendulum structure in the ocean in three cases without DVA, with passive DVA, with active DVA shows that the active DVA is better than the passive one. 1. INTRODUCTION The applications of the passive Dynamic Vibration Absorber (pDVA) as an addition tool for primary system excited by harmonic or narrow-band excitations had the advantage of low cost and reliability [1, 2]. However, its effectiveness is limited because it can only store and dissipation system’s energy; therefore, the active DVA (aDVA) which can apply control force into system was investigated [3]. The passive mass-spring-pendulum type pDVA for a stable inverted pendulum type structure was carried out in [4] with the optimum parameters of the pDVA were obtained by minimizing ratio of mean squares of displacement of primary system with/without pDVA. In this paper a design of the active mass-spring-inverted pendulum type aDVA for the stable inverted pendulum type structure is investigated in case the excitation force is white noise process. The design is based on the method used to find optimum pDVA as .

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• Vietnam Journal of Mechanics
• An optimum active mass spring inverted pendulum
• Dynamic vibration absorber
• The inverted pendulum type structure
• The optimum control force
• Minimizing the performance index
• Dang Dinh Ang
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