Out of Plane Vibration of Curved Beams

Out of Plane Vibration of Curved Beams
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A very thin circular curved beam is analyzed for its natural frequency in this project. Only out of plane vibrations are considered in this project. The stiffness matrix and mass matrix are derived from the strain energy and kinetic energy. This is done with the help of natural shape functions. The derivations are done in local coordinate system or Global Cartesian coordinate system. The out of plane deformations considered are the rigid body displacement of the centre of curvature in the axial direction, the rigid body rotation about the centre of curvature in the radial direction, and the rigid body rotation about the centre of curvature in the circumferential direction at the mid cross section.

Out-of-plane Vibrations of Planar Curved Beams Having Variable Curvature and Cross-section

Out-of-plane Vibrations of Planar Curved Beams Having Variable Curvature and Cross-section
Author: Kaan Kaygısız
Publisher:
Total Pages: 68
Release: 2012
Genre: Girders
ISBN:

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In this study, out of plane vibration characteristics of curved beams having variable curvatures and cross-sections are studied by FDM (Finite Difference Method). The effects of curvature and cross-section of the curved beam on natural frequencies are investigated for the curved beams having; variable curvature & constant cross-section and variable curvature & variable cross-section. Mathematical model of the present problem is based on the coupled differential eigenvalue problem with variable coefficients. Numerical solutions of the problem in this study are obtained by the computer program developed in Mathematica. The accuracy of the present results obtained from the developed program is evaluated by comparing with FEM (Finite Element Method) results found from solid model created in ANSYS. Good agreement is obtained in the comparisons of the present results with other results. All results are presented in tabular and graphical forms.

Vibration of Plane Curved Beams

Vibration of Plane Curved Beams
Author: Brock Tourville Strom
Publisher:
Total Pages: 238
Release: 1971
Genre: Aerodynamics
ISBN:

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Free Vibration Analysis of Curved Beams with Variable Cross-sections on Elastic Foundations

Free Vibration Analysis of Curved Beams with Variable Cross-sections on Elastic Foundations
Author: Ümit Okan Yazıcı
Publisher:
Total Pages: 52
Release: 2013
Genre: Elasticity
ISBN:

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Free out of plane vibration characteristics of curved beams with variable cross-sections on elastic foundations are studied by TMM (Transfer Matrix Method) since the mathematical model of the present system based on the coupled differential eigenvalue problem with variable coefficients which can not be solved easily by exact methods. Vibrations of beams on different elastic foundations are reviewed. Out of plane vibration of curved beams on different elastic foundations are investigated. TMM is detailed with its applications to vibration problems. To solve the vibration problems, TMM is examined with several computer programs developed in Mathematica. The accuracy of the TMM results obtained from the developed program is evaluated by comparing with FEM results found from model created in ANSYS. Finally, the effects of the variation of cross-section of the curved beams and elastic foundation parameters on natural frequencies are investigated.

Introduction to Finite Element Vibration Analysis

Introduction to Finite Element Vibration Analysis
Author: Maurice Petyt
Publisher: Cambridge University Press
Total Pages: 584
Release: 1998-07-30
Genre: Mathematics
ISBN: 9780521634175

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First time paperback of successful mechanical engineering book suitable as a textbook for graduate students in mechanical engineering.

Advances in Engineering Design

Advances in Engineering Design
Author: Anamika Prasad
Publisher: Springer
Total Pages: 824
Release: 2019-04-27
Genre: Technology & Engineering
ISBN: 9811364699

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This book presents select proceedings of the International Conference on Future Learning Aspects of Mechanical Engineering (FLAME 2018). The book covers mechanical design areas such as computational mechanics, finite element modeling, computer aided designing, tribology, fracture mechanics, and vibration. The book brings together different aspects of engineering design, and will be useful for researchers and professionals working in this field.

Rapport

Rapport
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Total Pages:
Release: 1977
Genre:
ISBN:

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Vibration Analysis of Rotating Curved Beams with Variable Cross-section

Vibration Analysis of Rotating Curved Beams with Variable Cross-section
Author: Osman Kartav
Publisher:
Total Pages: 52
Release: 2014
Genre:
ISBN:

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In this study, in-plane free vibration characteristics of rotating curved beams are investigated by Finite Difference Method and Finite Element Method since the mathematical model of the present problem is based on the differential eigenvalue problem with variable coefficients. A computer program regarding the titled problem is developed in Mathematica and this program is verified by using results available in the literature. The effects of taper parameters of the curved beam and rotation speed on natural frequencies are investigated.