Modeling and numerical results for the argumental transverse vibration of a beam excited through permanent or intermittent elastic contact by a harmonic axial motion

2018 ◽  
Vol 95 (1) ◽  
pp. 495-521 ◽  
Author(s):  
Daniel Cintra ◽  
Gwendal Cumunel ◽  
Pierre Argoul
Keyword(s):  
Transverse Vibration ◽  
Numerical Results ◽  
Elastic Contact ◽  
Axial Motion

Free Vibration of Thin-Walled Open Section Beams With Unconstrained Damping Treatment

1981 ◽  
Vol 48 (1) ◽  
pp. 169-173 ◽  
Author(s):  
S. Narayanan ◽  
J. P. Verma ◽  
A. K. Mallik
Keyword(s):  
Free Vibration ◽  
Cross Section ◽  
Transverse Vibration ◽  
Natural Frequencies ◽  
Vibration Characteristics ◽  
Numerical Results ◽  
Simply Supported ◽  
Clamped Beams ◽  
Thin Walled ◽  
Open Cross Section

Free-vibration characteristics of a thin-walled, open cross-section beam, with unconstrained damping layers at the flanges, are investigated. Both uncoupled transverse vibration and the coupled bending-torsion oscillations, of a beam of a top-hat section, are considered. Numerical results are presented for natural frequencies and modal loss factors of simply supported and clamped-clamped beams.

On the Contact Problem of Thin Circular Rings

1965 ◽  
Vol 32 (1) ◽  
pp. 11-20 ◽  
Author(s):  
Chien-Heng Wu ◽  
Robert Plunkett
Keyword(s):  
Contact Problem ◽  
Closed Form ◽  
Constant Curvature ◽  
Complete Solution ◽  
Elliptic Functions ◽  
Numerical Results ◽  
Elastic Contact ◽  
Flat Plates ◽  
Circular Rings

It is well known that the solution of an elastica subjected to end loads can be obtained in terms of elliptic functions. In the present paper, the combined problem of elastic contact between uniform circular rings or cylinders is reduced to a set of end-loaded elasticas. The approach is demonstrated by finding the complete solution in closed form for two unequal rings pressed between rigid anvils of constant curvature. Numerical results are obtained for the set of problems of two rings with equal stiffness but unequal radii compressed between two rigid flat plates.

Transverse Free Vibration of Timoshenko Beams Resting on Viscoelastic Foundations

2014 ◽  
Vol 919-921 ◽  
pp. 275-279
Author(s):  
Li Peng ◽  
Ying Wang
Keyword(s):  
Free Vibration ◽  
Modal Analysis ◽  
Transverse Vibration ◽  
Natural Frequencies ◽  
Numerical Results ◽  
Complex Frequency ◽  
Pasternak Foundation ◽  
Timoshenko Beams ◽  
Numerical Examples ◽  
Complex Modal Analysis

The complex modal analysis is developed to study the transverse vibration of Timoshenko beams resting on viscoelastic Pasternak foundation. Complex frequency equations and modal function expressions are obtained for pinned-pinned ends. In numerical examples, the characteristics of natural frequencies and decrement coefficients of Timoshenko beams are compared with Euler-Bernoulli beams. The numerical results show that with increase in the length, the natural frequencies of Timoshenko beams are slightly less than Euler-Bernoulli beams, and the decrement coefficients of Timoshenko beams are not constant as that of Euler-Bernoulli beams.

Steady-State Transverse Response in Coupled Planar Vibration of Axially Moving Viscoelastic Beams

2010 ◽  
Vol 132 (1) ◽  
Author(s):  
Li-Qun Chen ◽  
Hu Ding
Keyword(s):  
Steady State ◽  
Transverse Vibration ◽  
Nonlinear Models ◽  
Numerical Results ◽  
State Response ◽  
Planar Vibration ◽  
Transverse Loads ◽  
Steady State Responses ◽  
Axially Moving ◽  
Transverse Response

Steady-state periodical response is investigated for planar vibration of axially moving viscoelastic beams subjected external transverse loads. A model of the coupled planar vibration is established by introducing a coordinate transform. The model can reduce to two nonlinear models of transverse vibration. The finite difference scheme is developed to calculate steady-state response numerically. Numerical results demonstrate there are steady-state periodic responses in transverse vibration, and resonance occurs if the external load frequency approaches the linear natural frequencies. The effect of material parameters and excitation parameters on the amplitude of the steady-state responses are examined. Numerical results also indicate that the model of coupled vibration and two models of transverse vibration predict qualitatively the same tendencies with the changing parameters, and the two models of transverse vibration yield satisfactory results.

scholarly journals Spatial Transverse Vibration Simulation Model of Axially Moving Sucker Rod String under the Excitation of Curved Borehole

2020 ◽  
Vol 2020 ◽  
pp. 1-18
Author(s):  
Hongbo Wang ◽  
Shimin Dong
Keyword(s):  
Transverse Vibration ◽  
Axial Load ◽  
Simulation Models ◽  
Elastic Collision ◽  
Axial Motion ◽  
Runge Kutta Method ◽  
Sucker Rod ◽  
Simulation Results ◽  
Axially Moving ◽  
Vibration Simulation

The mechanical model of transverse vibration of sucker rod string (SRS) in directional well is simplified to the transverse vibration model of longitudinal and transverse curved beam with initial bending under borehole constraints. In this paper, besides considering the excitation of alternating axial load on the transverse vibration of SRS, it is proposed for the first time that curved borehole is also the main excitation for the transverse vibration when the SRS moves reciprocating axially in the borehole. Based on the elastic body vibration theory, the transverse vibration mathematical model of SRS with initial bending under borehole constraints is established. In this model, the curved borehole excitation caused by the axial motion and the alternating axial load excitation is considered. Besides, the elastic collision theory is applied to describe the constraint of tube on the SRS transverse vibration in this model. Then the fourth-order Runge–Kutta method is used to calculate the transverse vibration of SRS in directional wells. The simulation results show the following: (1) The simulation results of the three simulation models in this paper are different. The results indicate that the curved borehole excitation caused by the axial motion and the alternating axial load excitation is the main excitation for the SRS transverse vibration. (2) In directional wells, the rod and tube contact along the well depth, and the dangerous sections locate at the deviation section of the borehole and the compression section of the rod. On the whole, the contact force between rod and tube in deviation section of borehole is larger. The transverse vibration of the compression section of the rod is the most violent.

Numerical Simulation of Elastic Conforming Contacts Under Eccentric Loading

2008 ◽  
Author(s):  
Sergiu Spiˆnu ◽  
Emanuel Diaconescu
Keyword(s):  
Numerical Simulation ◽  
Pressure Distribution ◽  
Numerical Method ◽  
Contact Area ◽  
Contact Analysis ◽  
Numerical Results ◽  
Elastic Contact ◽  
The Subject

The subject of eccentrically loaded conforming contacts is approached analytically under the restriction that the eccentricity is small enough to keep the contact closed. This paper advances a numerical method for contact analysis valid at any eccentricity value. An additional loop is added to the classic elastic contact solver to account for load eccentricity. The method predicts contact area and pressure distribution even when the contacting bodies lose contact in some peripheral points. Numerical results of pressure distribution for a circular flat end punch agree well with existing analytical predictions.

Study on the dynamic vibration characteristics of viscoelastic yarn bundles

2018 ◽  
Vol 89 (18) ◽  
pp. 3744-3751
Author(s):  
Yang Xu ◽  
Furong Cheng ◽  
Xiaowei Sheng ◽  
Li Angang ◽  
Ahmadou Bamba Sourang Thiaw
Keyword(s):  
Experimental Data ◽  
Transverse Vibration ◽  
Vibration Characteristics ◽  
Axial Motion ◽  
Vibration Equation ◽  
Dynamic Vibration ◽  
Vibration Model ◽  
Galerkin Truncation ◽  
Creep Models ◽  
Simulation Results

In order to study the influence of yarn bundle vibration characteristics on the vibration and noise of tufted carpet looms, a yarn bundle vibration model was proposed in this paper, which was based on the viscoelasticity of the yarn bundle, and the correctness of the transverse vibration equation of the yarn bundle was verified by experiments. Different creep models of the yarn bundle were fitted with the experimental data, and the transverse vibration equation of the axial motion viscoelastic yarn bundle was established by using Burgers four-element constitutive model. Then, the Galerkin truncation method was used to solve the partial differential vibration equation of the yarn bundle and solve the equation. Finally, the correctness of the vibration equation is verified by comparison between the experimental results and the numerical simulation results. The results show that the vibration equation is suitable for studying the transverse dynamic vibration characteristics of the yarn bundle.

Sign in / Sign up

Export Citation Format

Share Document