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FREE VIBRATIONS OF SPATIAL RODS -- A FINITE-ELEMENT ANALYSIS.

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Title: FREE VIBRATIONS OF SPATIAL RODS -- A FINITE-ELEMENT ANALYSIS.
Authors: Karami, G.1, Farshad, M.1, Yazdchi, M.1
Source: Communications in Applied Numerical Methods. Aug1990, Vol. 6 Issue 6, p417-428. 12p.
Subjects: Finite element method, Numerical analysis, Frequencies of oscillating systems, Mechanics (Physics), Spatial systems, Equations
Abstract: In this paper, a general finite-element (FE) formulation has been developed for natural frequency analysis of spatial rod systems. Accordingly, the frequency analysis of spatially curved and pretwisted rods, with either constant or varying cross-section on distributed elastic or point supports has been carried out. First, an appropriate finite-element equations is developed utilizing the governing equations (equations of motion), kinematical relations and constitutive relations) of a spatial rod. The time-dependent governing equations are then solved to find the modal shapes as well as the natural frequencies of the discretized system. The master element, developed herein, comprises 12 degrees of freedom (six at each end) and contains the rigid body motion as well as the deformation modes. This element has the generality of embodying the special cases of prismatic, curved and pretwisted elements, both with either linear or constant curvature changes. To verify the formulations several numerical examples are presented. [ABSTRACT FROM AUTHOR]
Copyright of Communications in Applied Numerical Methods is the property of Wiley-Blackwell and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Data: FREE VIBRATIONS OF SPATIAL RODS -- A FINITE-ELEMENT ANALYSIS.
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  Data: In this paper, a general finite-element (FE) formulation has been developed for natural frequency analysis of spatial rod systems. Accordingly, the frequency analysis of spatially curved and pretwisted rods, with either constant or varying cross-section on distributed elastic or point supports has been carried out. First, an appropriate finite-element equations is developed utilizing the governing equations (equations of motion), kinematical relations and constitutive relations) of a spatial rod. The time-dependent governing equations are then solved to find the modal shapes as well as the natural frequencies of the discretized system. The master element, developed herein, comprises 12 degrees of freedom (six at each end) and contains the rigid body motion as well as the deformation modes. This element has the generality of embodying the special cases of prismatic, curved and pretwisted elements, both with either linear or constant curvature changes. To verify the formulations several numerical examples are presented. [ABSTRACT FROM AUTHOR]
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  Data: <i>Copyright of Communications in Applied Numerical Methods is the property of Wiley-Blackwell and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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        Value: 10.1002/cnm.1630060602
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        Text: English
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        PageCount: 12
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      – SubjectFull: Finite element method
        Type: general
      – SubjectFull: Numerical analysis
        Type: general
      – SubjectFull: Frequencies of oscillating systems
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      – SubjectFull: Mechanics (Physics)
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      – SubjectFull: Spatial systems
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      – SubjectFull: Equations
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      – TitleFull: FREE VIBRATIONS OF SPATIAL RODS -- A FINITE-ELEMENT ANALYSIS.
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              M: 08
              Text: Aug1990
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              Y: 1990
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