Optimum Design of PID Controlled Active Tuned Mass Damper via Modified Harmony Search

Kayabekir, Ayli̇n Ece; Bekdaş, Gebrai̇l; Niğdeli, Sinan Melih; Geem, Zong Woo

doi:10.3390/app10082976

Cited by 61 publications

(26 citation statements)

References 37 publications

(47 reference statements)

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“…The selection and optimization of system parameters for the tuned vibration absorber can be referred to Bekdaş and Nigdeli (2011), Bekdaş et al (2019, Kayabekir et al (2020), Nigdel and Bekdaş (2014), and Yucel et al (2019. To compare with the numerical results of previous literatures, simulation computation is undertaken with the same values of system parameters in Grenat et al, (2019) which are listed in Table 1.…”

Section: Numerical Results For the Nonlinear Tuned Vibration Absorbermentioning

confidence: 99%

A nonlinear optimization shooting method for bifurcation tracking of nonlinear systems

Liao

Gao

2020

Journal of Vibration and Control

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A continuation method for bifurcation tracking is presented based on the proposed optimization problem formulation which is designed to locate the bifurcation periodic solution. The bifurcation detection problem is formulated as a constrained optimization problem. The nonlinear constraints of the optimization problem are imposed on the shooting function and bifurcation conditions derived from the Floquet theory whereas the objective function associated with the pseudo-arclength correlation equation is devised to solution continuation. The proposed optimization formulation is integrated with the prediction–correction strategy to achieve bifurcation tracking. Two numerical examples about the Jeffcott rotor and the nonlinear tuned vibration absorber are illustrated to validate the effectiveness of the proposed methodology. Numerical results have demonstrated that the proposed method offers a convenient scheme to follow bifurcation periodic solution.

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Section: Numerical Results For the Nonlinear Tuned Vibration Absorbermentioning

confidence: 99%

A nonlinear optimization shooting method for bifurcation tracking of nonlinear systems

Liao

Gao

2020

Journal of Vibration and Control

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“…The harmony search method is one of the most successful algorithms developed in the field of metaheuristic optimization. This method was invented by Geem et al [43] and successfully implemented in numerous engineering problems such as the optimum design of truss systems [44,45], steel frames [46], plate girders [47], cylindrical reinforced concrete walls [48], plane stress systems [49], PID controlled active tuned mass dampers [50], retaining walls [51], water network optimization [52], slope stability analysis [53], heat and power systems [54], job shop scheduling [55], team orienteering [56], and vehicle routing [57]. The harmony search method was initially designed for the optimization of discrete-valued variables.…”

Section: Harmony Search Optimization Processmentioning

confidence: 99%

Metaheuristic Optimization of Laminated Composite Plates with Cut-Outs

et al. 2021

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The stacking sequence optimization of laminated composite plates while maximizing the structural performance or minimizing the weight is a subject investigated extensively in the literature. Meanwhile, research on the optimization of laminates with cut-outs has been relatively limited. Cut-outs being an indispensable feature of structural components, this paper concentrates on the stacking sequence optimization of composite laminates in the presence of circular cut-outs. The buckling load of a laminate is used as a metric to quantify the structural performance. Here the laminates are modeled as carbon fiber-reinforced composites using the finite element analysis software, ABAQUS. For the optimization, the widely used harmony search algorithm is applied. In terms of design variables, ply thickness, and fiber orientation angles of the plies are used as continuously changing variables. In addition to the stacking sequence, another geometric variable to consider is the aspect ratio (ratio of the length of the longer sides to the length of the shorter sides of the plate) of the rectangular laminates. The optimization is carried out for three different aspect ratios. It is shown that, by using dispersed stacking sequences instead of the commonly used 0°/±45°/±90° fiber angle stacks, significantly higher buckling loads can be achieved. Furthermore, changing the cut-out geometry is found to have a significant effect on the structural performance.

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“…The PID controller is one widely used linear controller and the control parameters are the proportional gain, derivative time, and integral time [46]. The PID controller transforms the error signal to the command signal.…”

Section: Tvcm-vpf For Ststmentioning

confidence: 99%

Shaking Table Substructure Testing Based on Three-Variable Control Method with Velocity Positive Feedback

Wang

Bao

et al. 2020

Applied Sciences

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To improve the experimental accuracy and stability of shaking table substructure testing (STST), an explicit central difference method (CDM) and a three-variable control method (TVCM) with velocity positive feedback (VPF) are proposed in this study. First, the explicit CDM is presented for obtaining an improved control accuracy of the boundary conditions between the numerical and experimental substructures of STST. Compared with the traditional CDM, the proposed method can provide explicit control targets for displacement, velocity, and acceleration. Furthermore, a TVCM-VPF is proposed to improve the control stability and accuracy for loading the explicit control targets of displacement, velocity, and acceleration. The effectiveness of the proposed methods is validated by experiments on a three-story frame structure with a tuned liquid damper loaded on an old shaking table originally designed with the traditional displacement control mode. The experimental results show that the proposed explicit CDM works well, and the response rate and control accuracy of the shaking table are significantly improved with the contribution of the TVCM-VPF compared with those of the traditional proportional integral derivative (PID) controller. This indicates the advantage of the proposed TVCM-VPF over the traditional PID for STST. A comparison between the traditional shaking table test and STST shows that when the latter is based on the TVCM-VPF, it exhibits an excellent performance in terms of the stability and accuracy of displacement and an acceptable performance in terms of the acceleration accuracy.

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Optimum Design of PID Controlled Active Tuned Mass Damper via Modified Harmony Search

Cited by 61 publications

References 37 publications

A nonlinear optimization shooting method for bifurcation tracking of nonlinear systems

A nonlinear optimization shooting method for bifurcation tracking of nonlinear systems

Metaheuristic Optimization of Laminated Composite Plates with Cut-Outs

Shaking Table Substructure Testing Based on Three-Variable Control Method with Velocity Positive Feedback

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