Vibration Analysis Of Rotating Curved Beams With Variable Cross Section
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| Author | : Osman Kartav |
| Publisher | : |
| Total Pages | : 52 |
| Release | : 2014 |
| Genre | : |
| ISBN | : |
Download Vibration Analysis of Rotating Curved Beams with Variable Cross-section Book in PDF, Epub and Kindle
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.
| Author | : Ümit Okan Yazıcı |
| Publisher | : |
| Total Pages | : 52 |
| Release | : 2013 |
| Genre | : Elasticity |
| ISBN | : |
Download Free Vibration Analysis of Curved Beams with Variable Cross-sections on Elastic Foundations Book in PDF, Epub and Kindle
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.
| Author | : Kaan Kaygısız |
| Publisher | : |
| Total Pages | : 68 |
| Release | : 2012 |
| Genre | : Girders |
| ISBN | : |
Download Out-of-plane Vibrations of Planar Curved Beams Having Variable Curvature and Cross-section Book in PDF, Epub and Kindle
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.
| Author | : Elia Efraim |
| Publisher | : |
| Total Pages | : 184 |
| Release | : 1999 |
| Genre | : |
| ISBN | : |
Download Vibrations of Variable Cross-section Curved Beams Book in PDF, Epub and Kindle
| Author | : Tolga Yıldırım |
| Publisher | : |
| Total Pages | : 94 |
| Release | : 2003 |
| Genre | : |
| ISBN | : |
Download Vibration Analysis of Pre-twisted Rotating Beams Book in PDF, Epub and Kindle
A new linearly pretwisted rotating Timoshenko beam element, which has two nodes and four degrees of freedom per node, is developed and subsequently used for vibration analysis of pretwisted beams with uniform rectangular cross-section. First, displacement functions based on two coupled displacement fields (the polynomial coefficients are coupled through consideration of the differential equations of equilibrium) are derived for pretwisted beams. Next, the stiffness and mass matrices of the finite element model are obtained by using the energy expressions. Finally, the natural frequencies of pretwisted rotating Timoshenko beams are obtained and compared with previously published both theoretical and experimental results to confirm the accuracy and efficiency of the present model. The new pretwisted Timoshenko beam element has good convergence characteristics and excellent agreement is found with the previous studies.
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Download Out of Plane Vibration of Curved Beams Book in PDF, Epub and Kindle
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.
| Author | : Igorʹ Alekseevich Karnovskiĭ |
| Publisher | : McGraw-Hill Professional Publishing |
| Total Pages | : 266 |
| Release | : 2004 |
| Genre | : Science |
| ISBN | : |
Download Non-classical Vibrations of Arches and Beams Book in PDF, Epub and Kindle
The demand for complex, high technology structures has increased the required accuracy of structural calculations. This in-depth reference covers solutions to the crucial vibration problems of beam and arch design. It covers: vibration analysis, compressive loads, elastic foundations, and more; transverse vibration equations; dynamics of deformable systems; and optimal designed beams.
| Author | : Giancarlo Genta |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 674 |
| Release | : 2007-01-04 |
| Genre | : Technology & Engineering |
| ISBN | : 038728687X |
Download Dynamics of Rotating Systems Book in PDF, Epub and Kindle
Provides an up-to-date review of rotor dynamics, dealing with basic topics as well as a number of specialized topics usually available only in journal articles Unlike other books on rotordynamics, this treats the entire machine as a system, with the rotor as just one component
| Author | : Isaac E Elishakoff |
| Publisher | : World Scientific |
| Total Pages | : 340 |
| Release | : 2015-10-29 |
| Genre | : Technology & Engineering |
| ISBN | : 9814656607 |
Download Mechanics Of Functionally Graded Material Structures Book in PDF, Epub and Kindle
Mechanics of Functionally Graded Material Structures is an authoritative and fresh look at various functionally graded materials, customizing them with various structures. The book is devoted to tailoring material properties to the needed structural performance. The authors pair materials with the appropriate structures based upon their purpose and use.Material grading of structures depending upon thickness, axial and polar directions are discussed. Three dimensional analysis of rectangular plates made of functional graded materials and vibrational tailoring of inhomogeneous beams and circular plates are both covered in great detail. The authors derive novel closed form solutions that can serve as benchmarks that numerical solutions can be compared to. These are published for the first time in the literature. This is a unique book that gives the first exposition of the effects of various grading mechanisms on the structural behavior as well as taking into account vibrations and buckling.
| Author | : |
| Publisher | : |
| Total Pages | : 108 |
| Release | : 1985 |
| Genre | : Shock (Mechanics) |
| ISBN | : |
Download The Shock and Vibration Digest Book in PDF, Epub and Kindle
