Dynamic responses of the impact drive mechanism modeled by the distributed parameter system

Fung, Rong‐Fong; Han, Chang-Fu; Ha, Jih-Lian

doi:10.1016/j.apm.2007.06.006

Cited by 13 publications

(9 citation statements)

References 10 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…x and y are the output displacements, θ z is the output rotation angles, h 4 , h 5 , and h 6 are the state variables of the hysteresis, d e4 , d e5 , and d e6 are the piezoelectric coefficients, and V 4 , V 5 , and V 6 denote the input voltages in the x-, y-, and θ z -axes, respectively. In this paper, the hysteresis model for the PA adopts a simple Bouc-Wen model [11], which is described by a differential equation with only three parameterṡ…”

Section: Dynamic Equations Of the Plane-type Three-dof (X Y θ Z )mentioning

confidence: 99%

“…Therefore, the transfer matrix (equation (11)) between input voltages and output displacements for the cylinder-type three-DOF precision positioning table can be obtained as follows The average transfer matrix is defined as an average value of the transfer matrices obtained by input multi-group and random voltages to drive PAs (1∼3) and measure the output rotation angles θ x , θ y , and displacement Z . By using equation (11), the average transfer matrix of the cylinder-type three-DOF precision positioning table is obtained as Alternatively, the two independent three-DOF precision positioning tables can be combined into a six-DOF table, then multi-group and random voltages are inputted to drive the six PAs and measure the six output displacements, and using equation (11) Comparing with equation (15), it is seen that equation (16) is the transfer matrix considering the cross-coupling effects between the plane-type and cylinder-type tables. In order to compare the differences between the single and average transfer matrices, the step object values are given as shown in Fig.…”

Section: The Single and Average Transfer Matricesmentioning

confidence: 99%

See 1 more Smart Citation

Design and analysis of a novel six-degrees-of-freedom precision positioning table

Fung

Fan

Lin

2008

Proceedings of the Institution of Mechanical Engineers, Part C:

View full text Add to dashboard Cite

The purpose of this study is to design and analyse a novel six-degrees-of-freedom (DOF) precision positioning table, which is assembled by two different kinds of three-DOF precision positioning tables: a plane-type three-DOF (X , Y , θ z ) precision positioning table and a cylindertype three-DOF (θ x , θ y , Z ) one, and each table is driven by three piezoelectric actuators (PAs). In this paper, the Bouc-Wen model is employed to describe the hysteretic phenomenon of the PAs. The transfer matrices with cross-coupling terms between the output displacements and input voltages are derived from the dynamic equations in the steady-state conditions. In order to obtain the best transfer matrix, experimental measurements of the whole six-DOF table are compared with those from the two individual three-DOF precision positioning tables. Finally, the transfer matrices with better performance for the two three-DOF tables and the novel six-DOF table are obtained.

show abstract

Section: Dynamic Equations Of the Plane-type Three-dof (X Y θ Z )mentioning

confidence: 99%

Section: The Single and Average Transfer Matricesmentioning

confidence: 99%

Design and analysis of a novel six-degrees-of-freedom precision positioning table

Fung

Fan

Lin

2008

Proceedings of the Institution of Mechanical Engineers, Part C:

View full text Add to dashboard Cite

show abstract

“…Both the LuGre and the Dahl models have been used in various applications, see for instance [1,7,9].…”

Section: Introductionmentioning

confidence: 99%

Minor loops of the Dahl and LuGre models

Ikhouane

Mañosa

Pujol

2020

Applied Mathematical Modelling

View full text Add to dashboard Cite

Hysteresis is a special type of behavior encountered in physical systems: in a hysteretic system, when the input is periodic and varies slowly, the steady-state part of the output-versus-input graph becomes a loop called hysteresis loop. In the presence of perturbed inputs, this hysteresis loop presents small lobes called minor loops that are located inside a larger curve called major loop. The study of minor loops is being increasingly popular since it leads to a quantification of the loss of energy. The aim of the present paper is to give an explicit analytic expression of the minor loops of the LuGre and the Dahl models of dynamic dry friction.

show abstract

“…Further, in the above equations, the PA driving force is F P = k P d e V , where k P denotes the mechanical stiffness and d e denotes piezoelectric coefficient (Fung et al, 2008;Low and Guo, 1995). In our case, k P = 5 × 10 7 N m −1 , d e = 3 × 10 −7 m V −1 , m P = 120 g. In the test system, there is a support force from the pipe acting on the block against gravity.…”

Section: Model Integrationmentioning

confidence: 99%

A computationally efficient model to capture the inertia of the piezoelectric stack in impact drive mechanism in the case of the in-pipe inspection application

Liu

Xiong

et al. 2016

Mech. Sci.

View full text Add to dashboard Cite

Abstract. This paper presents a new model for the piezoelectric actuator (PA) in the context of in the impact drive mechanism (IDM) for the in-pipe inspection application. The feature of the model is capturing the inertia of PA stack in a distributed manner as opposed to the lumped manner in literature. The benefit arising from this feature is a balanced trade-off between computational efficiency and model accuracy. The study presented in this paper included both theoretical development (i.e. the model of the piezoelectric actuator and the model of the entire IDM which includes the actuator) and experimental verification of the model. The study has shown that (1) the inertia of the PA in such a robot will significantly affect the accuracy of the entire model of IDM and (2) the simulation of the dynamic behavior with the proposed model is sufficiently accurate by comparing with the experiment. It is thus recommended that the inertia of the PA be considered in the entire model of the IDM robot. The model is an analytical type, which has a high potential to be used for the model-based control of the IDM robot and optimization of its design for a much improved performance of the IDM system.

show abstract

Dynamic responses of the impact drive mechanism modeled by the distributed parameter system

Cited by 13 publications

References 10 publications

Design and analysis of a novel six-degrees-of-freedom precision positioning table

Design and analysis of a novel six-degrees-of-freedom precision positioning table

Minor loops of the Dahl and LuGre models

A computationally efficient model to capture the inertia of the piezoelectric stack in impact drive mechanism in the case of the in-pipe inspection application

Contact Info

Product

Resources

About