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Mikkola, Aki; Shabana, Ahmed A.

doi:10.1023/a:1022950912782

Cited by 176 publications

(5 citation statements)

References 23 publications

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“…where ε is the vector form of the strain tensor, and E is the elastic coefficient matrix. The strain tensor ε m is obtained by using the right Cauchy-Green deformation tensor [22],…”

Section: Kinematics Characterizationmentioning

confidence: 99%

Mechanical Deformation Analysis of a Flexible Finger in Terms of an Improved ANCF Plate Element

Liu

et al. 2022

Machines

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In recent years, flexible continuum robots have been substantially developed. Absolute nodal coordinates formulation (ANCF) gives a feasible path for simulating the behavior of flexible robots. However, the model of finger-shaped robots is often regarded as a cylinder and characterized by a beam element. Obviously, this is short of characterizing the geometrical feature of fingers in detail, especially under bending conditions. Additionally, for the lower-order plate element, it is hard to characterize the bending behavior of the flexible finger due to fewer nodes; a higher-order plate element often requires an extremely long computing time. In this work, an improved ANCF lower-order plate element is used to increase the accuracy of the Yeoh model and characterize the geometrical structure of silicone rubber fingers, taking into particular consideration the effect of volume locks and multi-body system constraints. Since it is a kind of lower-order plate element, essentially, the computing time is nearly the same as that of conventional lower-order plate elements. The validity of this model was verified by comparing it with the results of the published reference. The flexible finger, manufactured using silicone rubber, is characterized by the novel ANCF lower-order plate element, whereby its mechanical deformation and bending behavior are simulated both efficiently and accurately. Compared to the ANCF beam element, conventional lower-order plate element, and higher-order plate element, the novel plate element in this paper characterizes the external contour of the finger better, reflects bending behavior more realistically, and converges in less computing time.

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“…where ε is the vector form of the strain tensor, and E is the elastic coefficient matrix. The strain tensor ε m is obtained by using the right Cauchy-Green deformation tensor [22],…”

Section: Kinematics Characterizationmentioning

confidence: 99%

Mechanical Deformation Analysis of a Flexible Finger in Terms of an Improved ANCF Plate Element

Liu

et al. 2022

Machines

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“…In order to find a more meaningful list of keywords for each community, the keywords 'multibody', 'multibody dynamics', 'multibody system' and 'multibody system dynamics' were excluded. (24) railway vehicle (36) large deformation (38) contact force (43) vehicle dynamics (19) optimization (24) finite element method (23) railway dynamics (33) dynamics (29) impact (42) simulation (19) crashworthiness (23) model reduction (23) wear (32) finite element method (27) contact (35) real-time simulation (17) topology optimization (17) model order reduction (20) vehicle dynamics (32) simulation (25) clearance (26) redundant constraints (14) vehicle dynamics (16) simulation (18) derailment (27) absolute nodal coordinate (24) dynamics (26) constrained multibody system (14) simulation (16) modal analysis (15) finite element method (25) finite element (18) contact dynamics (25) numerical integration (12) parameter identification (15) rigid-flexible coupling (14) vehicle-track interaction (25) modeling (15) joint clearance (25) subsystem synthesis method (11) dynamics (12) dynamic stiffening (13) simulation (21) large displacements (14) revolute clearance joint…”

Section: Detection Of Thematic Communitiesmentioning

confidence: 99%

“…The ANCF lacks some of the problems associated with incremental formulations related to the description of rigid body inertia [32]. From the work of Omar and Shabana [29], finite isoparametric elements are parametrized as surfaces, in two-dimensional models, or volumes [30,31,33]. In beam or plate elements, shear and cross-section deformations are inherently included.…”

Section: Introductionmentioning

confidence: 99%

Detection of Communities within the Multibody System Dynamics Network and Analysis of Their Relations

et al. 2019

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Multibody system dynamics is already a well developed branch of theoretical, computational and applied mechanics. Thousands of documents can be found in any of the well-known scientific databases. In this work it is demonstrated that multibody system dynamics is built of many thematic communities. Using the Elsevier’s abstract and citation database SCOPUS, a massive amount of data is collected and analyzed with the use of the open source visualization tool Gephi. The information is represented as a large set of nodes with connections to study their graphical distribution and explore geometry and symmetries. A randomized radial symmetry is found in the graphical representation of the collected information. Furthermore, the concept of modularity is used to demonstrate that community structures are present in the field of multibody system dynamics. In particular, twenty-four different thematic communities have been identified. The scientific production of each community is analyzed, which allows to predict its growing rate in the next years. The journals and conference proceedings mainly used by the authors belonging to the community as well as the cooperation between them by country are also analyzed.

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“…Mikkola and Shabana investigated a nonincremental solution for the finite rotation and large deformation analysis of plates. 19 Their method is based on absolute nodal coordinate formulation and yields plate elements that can exactly represent rigid body motion. The method makes use of the continuity conditions on all the displacement gradients, avoiding nonsmoothness of the plate mid-surface at the nodal points.…”

Section: Introductionmentioning

confidence: 99%

Numerical Modal Analyses of Beam-Supported Plates with Varying Thicknesses

Yucel¹

2021

The International Journal of Acoustics and Vibration

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In this study, numerical modal analyses are conducted on steel plates supported with various numbers of transverse beams. Natural frequency and mode shapes are obtained for each model. The same analyses are also repeated for plates with various thicknesses. Finally, the correlation between the number of supporting beams and natural frequencies is examined. The change in natural frequencies with respect to plate thickness is emphasized. In addition, general surface regression formulas of flexural natural frequencies with respect to the number of supporting beams and plate thicknesses are obtained.

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Untitled

Cited by 176 publications

References 23 publications

Mechanical Deformation Analysis of a Flexible Finger in Terms of an Improved ANCF Plate Element

Mechanical Deformation Analysis of a Flexible Finger in Terms of an Improved ANCF Plate Element

Detection of Communities within the Multibody System Dynamics Network and Analysis of Their Relations

Numerical Modal Analyses of Beam-Supported Plates with Varying Thicknesses

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