Modelling and control of an overhead crane with a variable length flexible cable

Moustafa, Kamal A. F.; Trabia, Mohamed B.; Ismail, Mohamed I. S.

doi:10.1504/ijcat.2009.023945

Cited by 11 publications

(12 citation statements)

References 10 publications

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“…On the other hand, the first peak amplitude was greatly dropped by raising the value of the main-spring k1 On the other hand, changing the pendulum link length L has roughly no effect on the system Figure (12). Eventually, and after using some effective values of the components of the system, its response including linear and rotational displacements and velocities was plotted against time Figure (13).…”

Section: Numerical Simulation and Discussionmentioning

confidence: 99%

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Umerical Evaluation of the Effect of Combined Pendulum Tuned Mass Damper on a Basic Vibrating System

2018

IJOMAM

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There are many engineering applications utilizing Tuned Mass Damper (TMD), Pendulum Tuned Mass Damper (PTMD) and Combined Pendulum Tuned Mass Damper (CPTMD) in order to alleviate the response of the buildings exposed to catastrophes, strong wind, and earthquake vibrations. The objective of this work is to study the effect of the added Combined Pendulum Tuned Mass Damper (CPTMD) on the vibrating system and to investigate if the added CPTMD will help in damping out the vibrations arises from any excitation source like wind force or from seismic earthquake force. The proposed basic system was modelled mathematically to get the governing Equations of Motion according to Lagrange's equation where the whole system was described by three Degrees of Freedom two translation and one rotation. A parametric study was conducted with different values of constants for the springs and dampers and a simplified model has been derived after making linearization and order of magnitude analysis (OMA). The three Degree of Freedom (DOF) system was put in state-space format before being simulated using (MATLAB © ). Output graphs and curves have been obtained and discussed.

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Section: Numerical Simulation and Discussionmentioning

confidence: 99%

“…One of the current applications is overhead crane (OHC) or gantry which is modelled as simple PTMD. Gantry crane consists of a cart that passes alongside the path and its translation is in the flat plane [13]. In these systems, the lifted loads from the cart by chain are exposed to swing due to disturbances.…”

Section: Introductionmentioning

confidence: 99%

Umerical Evaluation of the Effect of Combined Pendulum Tuned Mass Damper on a Basic Vibrating System

2018

IJOMAM

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“…The Euler-Lagrange equation can be rewritten as: (23) where, [ij, k] is the Christoffel symbol and is defined as: (24) The dynamic equations of the crane system will be obtained in a matrix form by using equations (5-7) and inserting the Lagrangian function in equation (20), L(q, q . ), into Euler-Lagrange equation (22) as follows:…”

Section: Dynamic Equations Of Motionmentioning

confidence: 99%

“…In a crane system, interactive dynamics of the cable and the payload are a challenge in most applications, which demand investigation into boundary induced cable vibrations and can determine the behaviour of the crane [15]. A few studies have addressed the effects of flexibility and weight of the cable in crane systems [16][17][18][19][20][21][22][23][24][25]. They have presented planar models for an overhead crane and assumed that the cable is perfectly flexible and inextensible.…”

Section: Introductionmentioning

confidence: 99%

Modelling and Control of an Overhead Crane System with a Flexible Cable and Large Swing Angle

Fatehi

Eghtesad

Amjadifard

2014

Journal of Low Frequency Noise, Vibration and Active Control

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This paper deals with modelling and control of an overhead crane with a flexible cable. The developed dynamical model includes both transverse vibrations of the flexible cable and large swing angles of cable while the trolley is moving horizontally. To carry out the modelling, Rayleigh-Ritz discretization method is used to achieve an ordinary differential equation (ODE) model for transverse deflection of the cable with finite generalized degrees of freedom. Using the Euler-Lagrange formulation, a nonlinear dynamic model of the crane system with a flexible cable is obtained. The control objective is to move the payload position to the desired point and at the same time, to reduce the payload swing and to suppress the cable's transverse vibration. To this end, a static state feedback control combined with integral error feedback is proposed. Simulations are performed using the developed nonlinear model under various conditions to illustrate the effectiveness of the proposed control system.

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“…Overhead crane (OHC) is a common type of cranes used to transfer the payload from one position to desired position. A gantry crane incorporates a trolley which moves along the track and translates in a horizontal plane [1].…”

Section: Introductionmentioning

confidence: 99%

Design of Fuzzy PD-Controlled Overhead Crane System with Anti-Swing Compensation

Asad¹,

Salahat²,

Zalata³

et al. 2011

ENG

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This work aimed to find a proper control strategy to transfer loads using overhead cranes. The proposed control strategy, which is Fuzzy PD-based, should take into account two main factors. First, the time needed to move the payload from the initial pick up point to the destination point that must be minimized. Second, the oscillation of the payload must be reduced to prevent hazards for people and equipment in the work place. The current work, presents a comparative analysis of fuzzy PD based control basing on classical PD approach. A simplified model has been derived. The proposed control techniques have been designed and validated with MatLab. Numerical comparative results have been obtained and discussed

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Modelling and control of an overhead crane with a variable length flexible cable

Cited by 11 publications

References 10 publications

Umerical Evaluation of the Effect of Combined Pendulum Tuned Mass Damper on a Basic Vibrating System

Umerical Evaluation of the Effect of Combined Pendulum Tuned Mass Damper on a Basic Vibrating System

Modelling and Control of an Overhead Crane System with a Flexible Cable and Large Swing Angle

Design of Fuzzy PD-Controlled Overhead Crane System with Anti-Swing Compensation

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