Parameter optimization of tuned mass damper for three-degree-of freedom vibration systems

In this paper, the problem of parameters optimization of tuned mass damper for three-degree-of-freedom vibration systems is investigated using sequential quadratic programming method. The objective is to minimize the extreme vibration amplitude of vibration models. It is shown that the constrained formulation, that includes lower and upper bounds on the updating parameters in the form of inequality constraints, is important for obtaining a correct updated model. | Volume 35 Number 3 3 Vietnam Journal of Mechanics, VAST, Vol. 35, No. 3 (2013), pp. 215 – 224 PARAMETER OPTIMIZATION OF TUNED MASS DAMPER FOR THREE-DEGREE-OF-FREEDOM VIBRATION SYSTEMS Nguyen Van Khang1,∗ , Trieu Quoc Loc2 , Nguyen Anh Tuan2 1 Hanoi University of Science and Technology, Vietnam 2 National Institute of Labour Protection, Vietnam ∗ E-mail: Abstract. There are problems in mechanical, structural and aerospace engineering that can be formulated as Nonlinear Programming. In this paper, the problem of parameters optimization of tuned mass damper for three-degree-of-freedom vibration systems is investigated using sequential quadratic programming method. The objective is to minimize the extreme vibration amplitude of vibration models. It is shown that the constrained formulation, that includes lower and upper bounds on the updating parameters in the form of inequality constraints, is important for obtaining a correct updated model. Keywords: Vibration, tuned mass damper, optimal design, nonlinear programming. 1. INTRODUCTION Optimal design of multibody systems is characterized by a specific kind of optimization problem. Generally, an optimization problem is formulated to determine the design variable values that will minimize an objective function subject to constraints. Additionally, for many engineering applications, multibody analysis routine are used to calculate the kinematic and dynamic behavior of the mechanical design. As a result, most objective function and constraint values follow from the numerical analysis. Use of the tuned mass damper (TMD) as an independent means of vibration control is especially important, particularly in the case where it is almost the only or main means of vibration protection [1-6]. A tuned mass damper, also known as an active mass damper (AMD) or harmonic absorber, is a device mounted in structures to reduce the amplitude of vibrations. Its application can prevent discomfort, damage, .

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