Random Base Excitation of Timoshenko Beam Traversed by Moving Load

2011 ◽  
Author(s):  
Fahim Javid ◽  
Ebrahim Esmailzadeh ◽  
Davood Younesian
Keyword(s):  
Finite Element ◽  
Dynamic Response ◽  
Boundary Conditions ◽  
Timoshenko Beam ◽  
Moving Load ◽  
Dynamic Performance ◽  
Equations Of Motion ◽  
Base Excitation ◽  
Lateral Direction ◽  
Beam Dynamic

The study of dynamic response of Timoshenko beam traversed by moving load subjected to random base excitation is carried out. By applying the theory of dynamic response of Timoshenko beam as well as finite element theory, beam finite element governing equations of motion are developed and they are solved using Galerkin method. To validate the model, some results of the model are compared with those available in literatures and very close agreement is achieved. The beam is subjected to travelling load and random base excitation in lateral direction simultaneously. Three types of boundary conditions, namely, hinged-hinged, hinged-clamped, and the clamped-clamped ends, are considered and beam dynamic behavior; such as deflection, velocity, and bending moment of beam midpoint, with all so-called boundary conditions are studied. To get better understanding of base excitation effects on the beam dynamic performance, all the results are presented with and without base excitation, in which considerably difference is observed. Moreover, the effect of base excitation on beam with different span-length is monitored.

Dynamic Response of a Spinning Timoshenko Beam With General Boundary Conditions and Subjected to a Moving Load

1994 ◽  
Vol 61 (1) ◽  
pp. 152-160 ◽  
Author(s):  
J. W.-Z. Zu ◽  
R. P. S. Han
Keyword(s):  
Dynamic Response ◽  
Boundary Conditions ◽  
Timoshenko Beam ◽  
Moving Load ◽  
Original System ◽  
Adjoint System ◽  
General Boundary ◽  
General Boundary Conditions ◽  
Adjoint Systems ◽  
Analysis Technique

The dynamic response of a spinning Timoshenko beam with general boundary conditions and subjected to a moving load is solved analytically for the first time. Solution of the problem is achieved by formulating the spinning Timoshenko beams as a non-self-adjoint system. To compute the system dynamic response using the modal analysis technique, it is necessary to determine the eigenquantities of both the original and adjoint systems. In order to fix the adjoint eigenvectors relative to the eigenvectors of the original system, the biorthonormality conditions are invoked. Responses for the four classical boundary conditions which do not involve rigidbody motions are illustrated. To ensure the validity of the method, these results are compared with those from Euler-Bernoulli and Rayieigh beam theories. Numerical simulations are performed to study the influence of the four boundary conditions on selected system parameters.

Dynamic Response of a Rotating Beam Influenced a Moving Load and Gyroscopic Effect with Timoshenko Beam Model

2016 ◽  
Vol 829 ◽  
pp. 118-122
Author(s):  
Morteza Shahravi ◽  
Mohammad Temsal ◽  
Hamed Ghafari ◽  
Milad Azimi
Keyword(s):  
Finite Element ◽  
Dynamic Response ◽  
Timoshenko Beam ◽  
Rotational Speed ◽  
Moving Load ◽  
Element Formulation ◽  
Beam Model ◽  
Gyroscopic Effect ◽  
Maximum Displacement ◽  
Simply Supported

This article is presents a finite element formulation for the dynamic response of a rotating simply supported shaft subjected to a moving load. The Timoshenko beam theory is used to model the rotating shaft. The assumed modes method and Finite Element method are employed in this study. The equations are solved with numerical method. The influence of parameters moving load speed and rotational speed are discussed for rotating simply supported shaft model. The results show that the maximum displacement occurs in the direction of the load at the midpoint of the simply supported shaft. The gyroscopic effect occurs only in the direction perpendicular to the load and is dependent on rotational speed of the shaft.

scholarly journals Analysis of Timoshenko beam with Koch snowflake cross-section and variable properties in different boundary conditions using finite element method

2021 ◽  
Vol 13 (11) ◽  
pp. 168781402110609
Author(s):  
Hossein Talebi Rostami ◽  
Maryam Fallah Najafabadi ◽  
Davood Domiri Ganji
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Boundary Conditions ◽  
Natural Frequency ◽  
Cross Section ◽  
Timoshenko Beam ◽  
Natural Frequencies ◽  
Variable Properties ◽  
The Third ◽  
Koch Snowflake

This study analyzed a Timoshenko beam with Koch snowflake cross-section in different boundary conditions and for variable properties. The equation of motion was solved by the finite element method and verified by Solidworks simulation in a way that the maximum error was about 2.9% for natural frequencies. Displacement and natural frequency for each case presented and compared to other cases. Significant research achievements illustrate that if we change the Koch snowflake cross-section of the beam from the first iteration to the second, the area and moment of inertia will increase, and we have a 5.2% rise in the first natural frequency. Similarly, by changing the cross-section from the second iteration to the third, a 10.2% growth is observed. Also, the hollow cross-section is considered, which can enlarge the natural frequency by about 26.37% compared to a solid one. Moreover, all the clamped-clamped, hinged-hinged, clamped-free, and free-free boundary conditions have the highest natural frequency for the Timoshenko beam with the third iteration of the Koch snowflake cross-section in solid mode. Finally, examining important physical parameters demonstrates that variable density from a minimum value to the standard value along the beam increases the natural frequencies, while variable elastic modulus decreases it.

Dynamic response of an infinite Timoshenko beam on a nonlinear viscoelastic foundation to a moving load

2013 ◽  
Vol 73 (1-2) ◽  
pp. 285-298 ◽  
Author(s):  
Hu Ding ◽  
Kang-Li Shi ◽  
Li-Qun Chen ◽  
Shao-Pu Yang
Keyword(s):  
Dynamic Response ◽  
Timoshenko Beam ◽  
Moving Load ◽  
Viscoelastic Foundation ◽  
Nonlinear Viscoelastic

scholarly journals A 3D Direct Vehicle-Pavement Coupling Dynamic Model and Its Application on Analysis of Asphalt Pavement Dynamic Response

2013 ◽  
Vol 2013 ◽  
pp. 1-8 ◽  
Author(s):  
Peng Cao ◽  
Changjun Zhou ◽  
Decheng Feng ◽  
Youxuan Zhao ◽  
Baoshan Huang
Keyword(s):  
Finite Element ◽  
Dynamic Response ◽  
Dynamic Model ◽  
Static Analysis ◽  
Moving Load ◽  
Dynamic Responses ◽  
Pavement Surface ◽  
Coupling Dynamic ◽  
Pavement Structure ◽  
Coupling Dynamic Model

Currently dynamic response of the pavement structure is widely studied in pavement engineering. A 3D direct vehicle-pavement coupling dynamic model was developed to describe the pavement dynamic responses in this paper. The moving vehicle was simplified as spring-dashpot components, and the pavement structure was simulated using three-dimension finite element model. Based on Newton iteration and central difference integration algorithm, the static and dynamic coupling reactions between the pavement structure and vehicle were considered using finite element platform ABAQUS. The numerical results fit analytic results very well in static analysis and fit experiment results in dynamic analysis well too. The simulated results indicate that the dynamic pavement surface deflection is much higher than the situation in static analysis, due to the overlapping effect. This phenomenon enhances when vehicle speed increases. A discontinuous zone of shear stress was observed on the base surface between the location under moving load and the location the moving load just passed. It was also found that the vertical fluctuation exists on the vehicle even if there is no roughness on the pavement surface. In general, the developed 3-D direct vehicle-pavement coupling dynamic model was validated to be effective on evaluating pavement dynamic responses.

Dynamic response of a Timoshenko beam to a continuous distributed moving load

2015 ◽  
Vol 54 (4) ◽  
pp. 771-792 ◽  
Author(s):  
Olga Szylko-Bigus ◽  
Pawel Sniady
Keyword(s):  
Dynamic Response ◽  
Timoshenko Beam ◽  
Moving Load

Seismic Response Analysis of Twin-Tower Building with Enlarged Base

2014 ◽  
Vol 912-914 ◽  
pp. 1534-1537
Author(s):  
Shao Bo Zhang ◽  
Ke Lun Wei ◽  
Bi Jian Xiao
Keyword(s):  
Finite Element ◽  
Dynamic Response ◽  
Boundary Conditions ◽  
Seismic Response ◽  
Time History ◽  
Response Analysis ◽  
Rigid Boundary ◽  
Finite Element Software ◽  
Elastic Boundary ◽  
Elastic Boundary Conditions

This paper adopts large finite element software ANSYS to establish finite element model of twin-tower building with enlarged base, uses dynamic time history analysis method for seismic response calculation, compare and analyze the calculation results of twin-tower building with enlarged base under elastic boundary conditions and rigid boundary conditions. The results showe that dynamic response for model under elastic boundary conditions is larger than dynamic response for model under rigid boundary conditions, and elastic boundary conditions is more close to the actual situation.

Static and Dynamic Analysis of Capillary Compensated Hydrostatic Journal Bearings by Finite Element Method

1977 ◽  
Vol 99 (4) ◽  
pp. 478-484 ◽  
Author(s):  
D. V. Singh ◽  
R. Sinhasan ◽  
R. C. Ghai
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Journal Bearing ◽  
Dynamic Performance ◽  
Critical Mass ◽  
Equations Of Motion ◽  
Stability Studies ◽  
Static And Dynamic Analysis ◽  
Bearing System ◽  
Element Method

Using finite element method steady state and dynamic performance of a capillary compensated hydrostatic journal bearing have been investigated. For stability studies, the critical mass of the bearing system has been determined by Routh’s criterion. The locus of the journal center has been predicted by discretizing time and numerically integrating the equations of motion governing the journal bearing system.

Dynamic Characteristics of Large Repetitive Framelike Structures

1984 ◽  
Vol 51 (3) ◽  
pp. 510-518 ◽  
Author(s):  
Adnan H. Nayfeh ◽  
Michael S. Hartle
Keyword(s):  
Finite Element ◽  
Boundary Conditions ◽  
Dynamic Characteristics ◽  
Building Block ◽  
Equations Of Motion ◽  
Single Element ◽  
Two Dimensional ◽  
Energy Equivalent ◽  
Theoretical Predictions ◽  
Block Approach

Using a building block approach and starting with a single element, expressions for the energy of various two-dimensional frametype gridwork configurations are derived. These are then used to develop energy equivalent continua for the grid-works. Equations of motion and associated boundary conditions are obtained for the continua. Some dynamic characteristics of these continua are investigated and compared with corresponding results obtained from finite element codes and also with some available theoretical predictions.

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