The deflections of a cantilevered beam made of a linear-elastic material under the influence of an external vertical concentrated force at the free end are analysed in detail and it is found that a … Expand. Numerical and experimental analysis of a cantilever beam: a laboratory project to introduce geometric nonlinearity in mechanics of materials. The classical problem of deflection of a cantilever beam of linear elastic material, under the action of a uniformly distributed load along its length its own weight and an external vertical … Expand.
The main objective is to … Expand. The aim of this work is to simulate the elastoplastic behavior in large displacements of a beam of non-uniform section subjected to flexion. First, a mathematical formulation of the elastoplastic … Expand. This paper investigates the nonlinear dynamic behavior of a cantilever beam made of composite material without and with lumped mass fixed along its length. The analysis compares the results coming … Expand. This research focuses on the geometrically nonlinear large deflection analysis of a cantilever beam subjected to a concentrated tip load.
Initially, a step-by-step development of the theoretical … Expand. Classical beam theory neglects the displacement in the direction of the beam axis when a cantilever beam is subject to a lateral force at the free end. This displacement modifies the potential energy … Expand. View 2 excerpts, cites background. The large deflection of a prismatic Euler-Bernoulli cantilever beam under a combination of end-concentrated coplanar inclined force and tip-concentrated moment is investigated.
The angle of … Expand. The equilibrium … Expand. Large deflection analysis of cantilever beam under end point and distributed loads. Although the deflection of beams has been studied for decades, the solutions were either linearized i. The latter … Expand. Large deflections of cantilever beams of nonlinear materials. Abstract This paper deals with the large deflections finite of thin cantilever beams of nonlinear materials, subjected to a concentrated load at the free end.
The stress-strain relationships of the … Expand. View 2 excerpts, references background and methods. Large deflections of cantilever beams of non-linear elastic material under a combined loading. Abstract Large deflection of cantilever beams made of Ludwick type material subjected to a combined loading consisting of a uniformly distributed load and one vertical concentrated load at the free … Expand.
View 1 excerpt, references background. In this research a method is presented to study the alternate equilibrium configurations of a cantilever beam subjected to a uniform gravitational distributed load.
The prismatic cantilever beam is … Expand. Large deflection of cantilever beams. The solution for large deflection of a cantilever beam cannot be obtained from elementary beam theory since basic assumptions are no longer valid. Specifically the elementary theory neglects the … Expand. Step 5: Assembling the Global Stiffness Matrix The global structure stiffness matrix and equations is obtained by using the direct stiffness method as derived in Rockey et al.
Evaluating the displacements and stresses Graphical Textual Display of Display of Step 7: Calculating Deflection and Stresses Results Results Post - processing Stage Having solved for the nodal displacements, strains and stresses can be obtained in the global x and y directions in the elements by using 16 and 18 respectively.
No End program? Yes III. Basic framework of the developed package their intrinsic ability to carry out complex mathematical computations at high speeds and at a very acceptable degree of accuracy. After critical scrutiny of available software IV. This example has been chosen FEA flow process data entry; because an analytical solution can be easily obtained, and ii a visual presentation of the plate model whose this provides a useful basis for the discussion of the solution is being sought; accuracy of the numerical tool.
It involved the use of Visual Basic forms, i Click the Draw button on the main form and enter the modules and class modules. The forms contain the dimensions of the domain as shown in Fig. Graphical User Interface GUI objects; the modules contain ii Click the divide button to specify number of the functions and subroutines; and the class modules contain divisions along x- and y- axes.
A 4-element user defined objects called classes. The flow of the program discretization is equivalent to four divisions along x- involves interaction between the GUI objects, the functions, axis and two divisions along y-axis as shown in Fig.
Click the generate mesh button to view the framework of the model. Pre-processing stage involves discretization. In the package, the results are made the combo box, a green circle in the view port available in both textual and graphical forms.
Codes for indicates the selected node. Click the y-component each form are attached on individual basis. This is illustrated in Fig. Interface to define plate dimension b Specification of displacement BC Fig. Interface to specify load intensity and boundary conditions for 4- element mesh a 4 elements Fig. Interface to specify material properties of the plate b 10 elements Fig.
Textual nodal displacement V. The exact solutions were computed from 1 using the coordinates of the node along the neutral plane. The deflection curves for points along the neutral plane of the beam are presented in Fig. It was observed from the Fig. This confirms the fact that the more the number of a COMSOL Multiphysics graphical element, the better the results as reported in literature [11]. This implies that the model can used as alternative to the proprietary software.
Bamiro, Mechanics and Strength of Deformable Materials. The universal nature of the package is such that it pp. All required are data input that reflect the imposed Scientific Publications, , pp. Stamford: Cengage Learning, , pp. Visualizing effects of various parameters on the behaviour [15] K. Rockey, H. Evans, D. Griffiths and D. The model may serve York: Granada Publishing Limited, , pp.
Oladejo was born in Ibadan, Nigeria numerical analysis. He has B. Mechanical Engineering from University of Ibadan, Nigeria in His area of specialization The authors acknowledge the facilities support at is solid mechanics. His current research interest is Engineering, University of Ibadan, Nigeria.
Mechanical Engineering from [2] J. Maximov, T. Kuzmanov, A. Anchev and M. His area of , no. Yorgun, S. Dalci, and G. Structures, vol. His current research interest is finite element design and analysis while [4] W. Olufemi A. Bamiro was born in Ogun State, [6] D. Victor and D.
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