Passive modifications for partial assignment of natural frequencies of mass–spring systems

Ouyang, Huajiang; Zhang, Jia Fan

doi:10.1016/j.ymssp.2014.05.022

Cited by 43 publications

(23 citation statements)

References 40 publications

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“…In recent years, some researchers have tried to study partial frequency assignments via passive control, which is more challenging but more useful than active control. Passive structural modifications of mass-spring systems for the partial assignment of natural frequencies were addressed by Ouyang and Zhang [38], and two different methods were presented. Compared with the work in [38], Belotti et al [39] proposed a new method to assign a subset of natural frequencies of general structures with low spill-over, and optimal structural modifications were determined through a three-step procedure considering both the prescribed eigenvalues and the feasibility constraints.…”

Section: Introductionmentioning

confidence: 99%

“…The method mentioned above in [38] was shown to work for only simple systems and small modifications. In this paper, the main objective is a further theoretical development of the passive partial frequency assignment methods proposed by the research group of one of the authors (Ouyang and Zhang [38]). Its practical application to realistic large systems, which involves more stringent physical constrains, and its feasibility to bigger frequency modifications are investigated.…”

Section: Introductionmentioning

confidence: 99%

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Partial Frequency Assignment for Torsional Vibration Control of Complex Marine Propulsion Shafting Systems

Chen

Ouyang

et al. 2019

Applied Sciences

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With the large-scale and complexity of ship propulsion shafting, it is more difficult to analyze and control the torsional vibration of shafting. Therefore, an effective control method for the torsional vibration of shafting is of great significance in the field of ship engineering. The main strategy of torsional vibration control adopted in this paper is to keep the natural frequency of a shaft system away from the excitation frequency through structural modifications. In addition, because the basic parameters of much of the equipment in engineering applications cannot be changed, this restriction cannot be ignored when seeking solutions related to structural modifications. This paper studies the partial eigenvalue assignment for the torsional vibration control of complex ship propulsion shafting using the gradient flow method, which can shift a “dangerous” natural frequency to a safe value, while satisfying complex physical constraints. The models of a ship propulsion system and a diesel generator set are established to demonstrate several different desired modification schemes and constraint conditions in practice. In particular, close frequencies are shifted. The numerical simulation results demonstrate that it is effective and feasible to make a partial frequency assignment of torsional vibration, which provides a reliable approach for the control of torsional vibration for complex shaft systems in practical engineering.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Partial Frequency Assignment for Torsional Vibration Control of Complex Marine Propulsion Shafting Systems

Chen

Ouyang

et al. 2019

Applied Sciences

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“…The success of the method was assessed according to both the rank of changes and the number of freedoms that they connect to. Recently, Ouyang and his coworkers [16][17][18][19] have studied the passive structural modifications of the mass-spring systems for assignment of the eigen-structures i.e. eigen-values and eigen-vectors.…”

Section: Introductionmentioning

confidence: 99%

A method for shifting natural frequencies of a dynamic system to desired values with concentrated mass modifications

akar¹

2018

J. vibroeng.

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In this study, shifting a certain number of natural frequencies of a dynamic system to the desired values with the concentrated mass modifications is considered. A new method is proposed in order to determine the necessary mass modifications. The method proposed is based on the Sherman-Morrison formula and uses the receptances that are related to the modification coordinates of the original system. The system is sequentially modified at the predefined locations by a number of unknown masses which equal the number of frequencies that will be shifted. The method yields a set of nonlinear equations which equal the number of shifting frequencies, then the necessary masses are estimated by solving these equations numerically. The efficiency of the proposed method is shown by various numerical and experimental applications. It is shown that the method is very effective and can be used for real applications.

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“…So far, several authors have developed lumped parameter models in ball screw drives, generally using two dofs models. There are authors that have even developed a four dof model [4], [16] using a lumped parameter system, then analyze in more detail the different modes of vibration.…”

Section: Introductionmentioning

confidence: 99%

Mechatronics of a ball screw drive using an N degrees of freedom dynamic model

Ansoategui

Campa

2017

Int J Adv Manuf Technol

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High performance position control in machine tools can only be achieved modelling the dynamic behavior of the mechatronic system composed by the motor, transmission and control during the design stage. In this work, a complex analytical model of a ball screw drive is presented and integrated in a mechatronic model of the actuator to predict the dynamic behaviour and analyze the impact of each component of the transmission. First, a simple 2 degrees of freedom model is presented, and is analysis sets the basis for the development of a more complex model of several degrees of freedom, whose resulting fundamental transfer functions are represented using natural and modal coordinates. The modeling in modal coordinates carries a reduction of the transfer function that reduces computational work. The two models are compared and experimentally validated in time and frequency domain by means of experimental tests carried out on a specifically developed ball screw drive test bench. Keywords:Ball screw drive Machine tool dynamics Mechatronics Nomenclature m, J Mass, inertia moment c Viscous damping k Stiffness ωi i-thmodal frequency φij i-thdof component of the j-th eigenvector x,θ Linear, angular position in natural coordinates δ Positionin modal coordinates ξi Damping coefficient of the i-th mode f, τ Force, torque in natural coordinates g Force in modal coordinates Kv Proportional gain of the position loop Kp Proportional gain of the velocity loop Ti Integral time of the velocity loop

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Passive modifications for partial assignment of natural frequencies of mass–spring systems

Cited by 43 publications

References 40 publications

Partial Frequency Assignment for Torsional Vibration Control of Complex Marine Propulsion Shafting Systems

Partial Frequency Assignment for Torsional Vibration Control of Complex Marine Propulsion Shafting Systems

A method for shifting natural frequencies of a dynamic system to desired values with concentrated mass modifications

Mechatronics of a ball screw drive using an N degrees of freedom dynamic model

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