Application of rigid finite element method to dynamic analysis of spatial systems

Wittbrodt, Edmund; Wojciech, Stanisław

doi:10.2514/3.21474

Cited by 12 publications

(4 citation statements)

References 4 publications

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“…Since the nineties of the previous century, the RFEM has been used in Bielsko and Gdańsk for modelling of working machines [28,30], robot manipulators [1,2,3,6,17,34,36], textile machines [16,35], vehicles [22,29], band saws [37,38] and satellite antennas [32]. These papers are connected with the generalization of the method to spatial systems with changing configuration.…”

Section: In Memory Of Professor Jan Kruszewski-majewski (1929-2012)mentioning

confidence: 99%

Forty-Five Years of the Rigid Finite Element Method

Wittbrodt¹,

Wojciech²

2013

Archive of Mechanical Engineering

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Section: In Memory Of Professor Jan Kruszewski-majewski (1929-2012)mentioning

confidence: 99%

Forty-Five Years of the Rigid Finite Element Method

Wittbrodt¹,

Wojciech²

2013

Archive of Mechanical Engineering

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“…e RFEMs (include RFEM and MRFEM) have been widely employed in modeling beam-like flexible structures, whose longitudinal dimension is evidently larger than the transverse ones. Wittbrodt et al [19][20][21] utilized the RFEMs in the dynamic analysis of A-Frame of ships, telescopic, and offshore mechanical structures such as BOP transportation gantry, offshore crane, and pipeline laying machine. Adamiec-Wójcik et al [22][23][24][25] applied the RFEM in dynamic analysis of plane manipulators, marine ship risers, and flexible ropes to solve the vibration and drive control issues.…”

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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“…Large base motion is introduced in [39,40] but only for planar systems, while the respective formulation for spatial systems is presented in [41][42][43][44][45]. The formulations described in these papers as well as in [46] also include a modification of the method which ensures the continuity of displacements.…”

Section: Introductionmentioning

confidence: 99%

“…The rigid finite element method and its modified formulations are applied to dynamic analysis of a wide range of machines and mechanisms including manipulators [41,42,45,47], beams [43,44], cranes [48,49], vehicles [50] and band saws [51].…”

Section: Introductionmentioning

confidence: 99%

Effectiveness of the segment method in absolute and joint coordinates when modelling risers

2019

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This paper presents two formulations of the segment method: one with absolute coordinates and the second with joint coordinates. The nonlinear equations of motion of slender links are derived from the Lagrange equations by means of the methods used in multibody systems. Values of forces and moments acting in the connections between the segments are defined using a new and unique procedure which enables the mutual interaction of bending and torsion to be considered. The models take into account the influence of the velocity of the internal fluid flow on the riser's dynamics. The dynamic analysis of a riser with fluid flow requires calculation of the curvature by approximation of the Euler angles with polynomials of the second order. The influence of the sea environment, such as added mass of water, drag and buoyancy forces as well as sea current, is considered. In addition, the influence of torsion is discussed. Validation is carried out for both models by comparing the authors' own results with those obtained from experimental measurements presented in the literature and from COMSOL, Riflex and Abaqus software. The validation is concerned with vibrations of cables and the riser with internal fluid flow as well as with frequencies of free and forced vibrations of a riser fully or partially submerged in water. The numerical effectiveness of both formulations is examined for dynamic analysis of the riser, whose top end is moving in a horizontal plane. Conclusions concerned with the effectiveness of both formulations of the segment method and the influence of torsional vibrations on numerical results are formulated.

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Application of rigid finite element method to dynamic analysis of spatial systems

Cited by 12 publications

References 4 publications

Forty-Five Years of the Rigid Finite Element Method

Forty-Five Years of the Rigid Finite Element Method

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

Effectiveness of the segment method in absolute and joint coordinates when modelling risers

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