1. Finite element model of circularly curved Timoshenko beam for in-plane vibration analysis
- Author
-
Mehdi Raghebi and Azin Nadi
- Subjects
Timoshenko beam theory ,Materials science ,Mechanical Engineering ,curved timoshenko beam ,Mathematical analysis ,finite element method ,Mechanics of engineering. Applied mechanics ,02 engineering and technology ,TA349-359 ,Engineering (General). Civil engineering (General) ,01 natural sciences ,Finite element method ,Vibration ,In plane ,vibration absorber ,020303 mechanical engineering & transports ,0203 mechanical engineering ,Mechanics of Materials ,0103 physical sciences ,Physics::Accelerator Physics ,in-plane response ,TA1-2040 ,010301 acoustics - Abstract
Curved beams are used so much in the arches and railway bridges and equipments for amusement parks. There are few reports about the curved beam with the effects of both the shear deformation and rotary inertias. In this paper, a new finite element model investigates to analyze In-Plane vibration of a curved Timoshenko beam. The Stiffness and mass matrices of the curved beam element was obtained from the force-displacement relations and the kinetic energy equations, respectively. Assembly of the elemental property matrices is simple and without need to transformation matrix because of using the local polar coordinate system. The natural frequencies of curved Euler-Bernoulli beam with large thickness are not sufficiently accurate. In this case, using the curved Timoshenko beam element is necessary. Moreover, the influence of vibration absorber is discussed on the natural frequencies of the curved beam.
- Published
- 2021