Computational implementation of the rigid finite element method in the statics and dynamics analysis of forest cranes

Urbaś, Andrzej

doi:10.1016/j.apm.2016.08.006

Cited by 14 publications

(6 citation statements)

References 23 publications

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“…The RFEM is used to discretise link (c, 2) [19][20][21]. In this method, the link is replaced by rigid elements (rfe) interconnected by spring-damping elements (sde).…”

Section: Discretization Of the Flexible Link (C 2) By The Rigid Finimentioning

confidence: 99%

Analysis of Influence of a Crane Flexible Supports, Link Flexibility, and Joint Friction on Vibration Associated with Programmed Motion Execution

Jarzębowska

Urbaś

Augustynek

2019

J. Vib. Eng. Technol.

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Background The paper presents vibration analysis of dynamic models of systems with flexible mechanical components, friction modeled and subjected to position and kinematic programmed constraints, which can be imposed as control goals, work or service task demands. Methods The constrained dynamics is derived using an automated computational procedure dedicated to constrained systems. The procedure was successfully implemented to rigid system models. A class of systems composed of flexible parts and subjected to programmed motions is considered in the paper. Their motion analysis has to be accompanied by vibration inspection. The novelty of the presented approach is in the possibility of analyzing system motions and vibrations that can be induced by the presence of programmed constraints. Conclusions The constrained motion is examined by the example of a crane model equipped with a flexible link, e.g. a jib, friction modeled in its joints and subjected to programmed constraints. The example delivers a realistic work situation, in which the crane carries loads and moves according to the programmed constraint put on motion.

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“…The RFEM is used to discretise link (c, 2) [19][20][21]. In this method, the link is replaced by rigid elements (rfe) interconnected by spring-damping elements (sde).…”

Section: Discretization Of the Flexible Link (C 2) By The Rigid Finimentioning

confidence: 99%

Analysis of Influence of a Crane Flexible Supports, Link Flexibility, and Joint Friction on Vibration Associated with Programmed Motion Execution

Jarzębowska

Urbaś

Augustynek

2019

J. Vib. Eng. Technol.

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“…In addition, the RFEMs were also extended to model 2D flexible structures, such as plates and shells [29], reinforced concrete slabs [30], and collecting electrodes [31]. Additional applications based on the RFEMs can be found in the literature [32][33][34][35][36]. From these studies, it can be seen that although the RFEMs were extensively adopted, they were mainly applied to relatively simple flexible structures.…”

Section: Introductionmentioning

confidence: 99%

“…In this paper, a novel RMMS is proposed to model complex flexible structures. e RMMS preserves the advantages of RFEMs that have been proven, including (i) simplicity and high numerical efficiency, which are reflected in the description of a system with few DOFs, (ii) modeling of rigid and flexible bodies in a uniform approach, and (iii) applicability for the analysis of both small and large deformations, as well as for static and particularly dynamic analysis [19,34,37]. e generated rigid MBSs of complex structures have low model order and explicit physical meaning to effectively predict and optimize the system dynamics.…”

Section: Introductionmentioning

confidence: 99%

Inverse Eigenvalue Theory-Based Rigid Multibody Modeling Method of Complex Flexible Structures in Large-Scale Mechanical Systems

Zeng

Han

et al. 2020

Mathematical Problems in Engineering

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Increasing attention is paid to modeling flexibility of individual components in the multibody simulation of large-scale mechanical systems. Nevertheless, the high model order of common methods such as FEA restricts efficient explorations, especially in dynamic design and iterative optimization. In this paper, a rigid multibody modeling strategy (RMMS) with low DOFs and explicit physical meaning is proposed, which directly discretizes a continuous structure into a number of rigid finite elements (RFEs) connected by spring-damping elements (SDEs). In the RMMS, a new identification method from the perspective of the inverse vibration problem is particularly put forward to resolve the parameters of SDEs, which is crucial to the implementation of RMMS in complex flexible structures. With decoupling and linearization, this nonlinear problem is transformed into solving the incompatible linear equations in Rn2 vector space based on vectorization operator and Kronecker product, and optimal parameters are obtained by calculating the Moore–Penrose generalized inverse. Finally, the comparison of the experimental results with the simulated ones by the RMMS strongly validates the feasibility and correctness of the RMMS in predicting the dynamic behaviors while with few DOFs and explicit physical meaning; the application in a lithography system exhibits the applicability of the RMMS for dynamic modeling of large-scale mechanical systems.

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“…Yildirim and Esim [13] carried out a finite element dynamic analysis of the bridge of an overhead travelling crane while its traversing mechanism was in operation and introduced a kind of finite element subjected to a point load. Urbaś [14] built a dynamics model of a forest crane that considered the flexibility of connections between the crane and the ground, the flexibility of links and their drives based on the rigid finite element method. Adamiec-Wójcik et al [15] implemented static and dynamic analyses of an offshore knuckle boom crane during the hoist acceleration or deceleration in a 3D dynamic model.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear Dynamic Analysis of Lifting Mechanism of an Electric Overhead Crane during Emergency Braking

Niu

Ouyang

2020

Applied Sciences

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Mechanical brakes are essential for electric cranes when emergency braking occurs. This paper presents, for the first-time, a dynamic response analysis of emergency braking events of electrical cranes that has modelled crane components as flexible and rigid bodies. Based on the Hamilton principle, a nonlinear and non-smooth dynamic model is derived from a modified Lagrangian function and the virtual work of non-conservative forces. The dynamic responses of a 32-ton overhead travelling crane during the emergency braking process of its lifting mechanism with two service brakes determined by simulating realistic operations. The numerical results show that the loads acting on components of the crane during the braking process depend on the braking capacity and the action time of the mechanical brakes, as well as the magnitude and the initial position of the payload. When a dual-brake scheme of the lifting mechanism is adopted, the maximum load of the high-speed links and the maximum thermal power of the mechanical brake appear in the emergency braking process when one of the two brakes fails to work. In addition, it is found to be a false belief that the lower the initial speed, the lower the maximum loads acting on components of cranes become during the braking process.

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Computational implementation of the rigid finite element method in the statics and dynamics analysis of forest cranes

Cited by 14 publications

References 23 publications

Analysis of Influence of a Crane Flexible Supports, Link Flexibility, and Joint Friction on Vibration Associated with Programmed Motion Execution

Analysis of Influence of a Crane Flexible Supports, Link Flexibility, and Joint Friction on Vibration Associated with Programmed Motion Execution

Inverse Eigenvalue Theory-Based Rigid Multibody Modeling Method of Complex Flexible Structures in Large-Scale Mechanical Systems

Nonlinear Dynamic Analysis of Lifting Mechanism of an Electric Overhead Crane during Emergency Braking

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