Deflection analysis of uniform cross sectional hollow rectangular cantilever beam with transverse stiffeners under UDL and concentrated load

2021 ◽  
Author(s):  
Bhaveshkumar Prahladbhai Patel ◽  
Dhaval Punamchand Patel
Keyword(s):  
Cantilever Beam ◽  
Cross Sectional ◽  
Concentrated Load ◽  
Deflection Analysis

Upper limb involuntary tremor reduction using cantilever beam TMDs

2022 ◽  
pp. 107754632110518
Author(s):  
Sarah Gebai ◽  
Gwendal Cumunel ◽  
Mohammad Hammoud ◽  
Gilles Foret ◽  
Emmanuel Roze ◽  
...  
Keyword(s):  
Stainless Steel ◽  
Objective Function ◽  
Cantilever Beam ◽  
Upper Limb ◽  
Wrist Joint ◽  
Angular Displacement ◽  
Damping Ratio ◽  
Vertical Plane ◽  
Cross Sectional ◽  
Flexion Extension

Tuned mass dampers (TMDs) are proposed as a solution to reduce the involuntary tremor at the upper limb of a patient with postural tremor. The upper limb is modeled as a three-degrees-of-freedom rotating system in the vertical plane, with a flexion-extension motion at the joints. The measured extensor carpi radialis signal of a patient is used to excite the dynamic model. We propose a numerical methodology to optimize the parameters of the TMDs in the frequency domain combined with the response in the time domain. The objective function for the optimization of the dynamic problem is the maximum angular displacement of the wrist joint. The optimal stiffness and damping of the TMDs are obtained by satisfying the minimization of the selected objective function. The considered passive absorber is a cantilever beam–like TMD, whose length, beam cross-sectional diameter, and mass position reflect its stiffness for a chosen additional mass. A parametric study of the TMD is conducted to evaluate the effect of the TMD position along the hand segment, the number of TMDs, and the total mass of TMDs. The sensitivity of the TMD to a decrease of its modal damping ratio is studied to meet the range of stainless steel. TMDs are manufactured using stainless steel beams of the same length (9.1 cm) and cross-sectional diameter (0.79 mm), for which the mass (14.13 g) position is adjusted to match the optimal frequency. Three TMDs holding a mass of 14.13 g each cause 89% reduction in the wrist joint angular displacement.

scholarly journals Peridynamic Higher-Order Beam Formulation

2020 ◽  
Author(s):  
Zhenghao Yang ◽  
Erkan Oterkus ◽  
Selda Oterkus
Keyword(s):  
Finite Element Method ◽  
Cantilever Beam ◽  
Higher Order ◽  
Point Load ◽  
Transverse Displacement ◽  
Lagrange Equations ◽  
Concentrated Load ◽  
Simply Supported Beam ◽  
Simply Supported ◽  
Good Agreement

Abstract In this study, a novel higher-order peridynamic beam formulation is presented. The formulation is obtained by using Euler-Lagrange equations and Taylor’s expansion. To demonstrate the capability of the presented approach, several different beam configurations are considered including simply supported beam subjected to distributed loading, simply supported beam with concentrated load, clamped-clamped beam subjected to distributed loading, cantilever beam subjected to a point load at its free end and cantilever beam subjected to a moment at its free end. Transverse displacement results along the beam obtained from peridynamics and finite element method are compared with each other and very good agreement is obtained between the two approaches.

Frequency and deflection analysis of cenosphere/glass fiber interply hybrid composite cantilever beam

2018 ◽  
Author(s):  
Bharath J. ◽  
Sharnappa Joladarashi ◽  
Srikumar Biradar ◽  
P. Naveen Kumar
Keyword(s):  
Glass Fiber ◽  
Cantilever Beam ◽  
Hybrid Composite ◽  
Deflection Analysis

Comparison of Methods for Large Deflection Analysis of a Cantilever Beam Under Free End Point Load Cases

2009 ◽  
Author(s):  
Femke M. Morsch ◽  
Nima Tolou ◽  
Just L. Herder
Keyword(s):  
Cantilever Beam ◽  
Computation Time ◽  
Beam Theory ◽  
Fem Analysis ◽  
Point Load ◽  
Vertical Position ◽  
Closed Form Solutions ◽  
End Point ◽  
Non Linear ◽  
Deflection Analysis

The objective of this paper is to present a comparative analysis for large deflections of a cantilever beam under free end point load. pseudo rigid body model (PRBM), non-linear beam theory numerically solved with integration (NLBT-NUM), linear beam theory (LBT), finite element modeling (FEM) using an available commercially FEM package, non-linear beam theory solved with direct nonlinear solution (NLBT-DNS) and experimental evaluation (EXP), have been implemented. For the purpose of comparison, the relation between the displacements, rotating angle of the tip and applied force were calculated and shown graphically. The accuracy of the path of the tip as a function of the force is compared with the NLBT-NUM, which is taken as a reference. In addition, computation times and implementation convenience were recorded. In the case of a perpendicular load, the PRBM is accurate and has little computation time. The NLBT-NUM, NLBT-DNS and FEM analysis are accurate, but the computation time is longer. The NLBT-DNS has been introduced for the first time and provides semi-exact closed form solutions for both horizontal and vertical position. In case of a non-perpendicular load, the NLBT-NUM and FEM analysis are the only accurate methods while computation time is less for the numerical solution. In conclusion, the PRBM and the FEM are recommended for the cases of perpendicular load and non-perpendicular load respectively. Finally, it can be concluded that the more accurate methods take more computation time, and that the accuracy is affected by load cases.

Load configuration, geometry and web reinforcement effects on failure modes of sandwich deep beams

2016 ◽  
Vol 20 (7) ◽  
pp. 811-830
Author(s):  
Leon Raj J ◽  
Appa Rao G
Keyword(s):  
Shear Strength ◽  
Failure Modes ◽  
Load Transfer ◽  
Deep Beams ◽  
Cross Sectional ◽  
Concentrated Load ◽  
Modes Of Failure ◽  
Web Reinforcement ◽  
Uniformly Distributed Loads ◽  
The Web

In this article, an experimental investigation is carried out to understand the behaviour of sandwich deep beams. The shear strength, load transfer mechanism, integral action and failure modes are reported. Primary variables of this study include distribution of web reinforcement, beam geometry and type of loading. Twelve full-scale beams were tested with simply supported end conditions classifying them into two groups. Each series consists of six beams with rectangular and I-shaped cross-sectional geometry. Two types of loading, i.e. concentrated and uniformly distributed loads, were adopted to understand the influence of distribution of horizontal reinforcement along the depth of beam in the web. Using both types of cross-sections, two beams were tested under uniformly distributed loads, and all the remaining beams were subjected to concentrated load with two different shear span-to-depth ratios (a/d). Observations of the study with respect to strength and serviceability include initial cracking load, ultimate load, crack width, transverse deflection and out-of-plane deformations. The test results indicated that confined or unconfined I-beams in the web failed due to punching shear under concentrated or distributed loads. The modes of failure of rectangular beams with web confinement were diagonal splitting and shear-compression, whereas the unconfined beams failed in flexure. Shear strength expression for conventional deep beams is refined for sandwich beams, and the predicted shear strength agrees well with the experimental results.

Coupled Deflection Analysis of SMA Fiber Hybrid Composite Active Blade

2009 ◽  
Vol 79-82 ◽  
pp. 1455-1458 ◽  
Author(s):  
Yong Sheng Ren ◽  
Shu Lian Yang ◽  
Ting Riu Liu ◽  
Xiao Hui Wang
Keyword(s):  
Phase Transformation ◽  
Volume Fraction ◽  
Structural Response ◽  
Laminated Beams ◽  
Cross Sectional ◽  
Variational Asymptotic ◽  
Deflection Analysis ◽  
Variational Asymptotic Method ◽  
Thin Walled ◽  
Work Done

The constitutive equations relating cross-sectional loads(forces and moments)to cross-sectional displacements(stretching, bending, twisting) of thin-walled laminated beams with integral shape memory alloy (SMA)active fibers was presented. The variational asymptotic method was used to formulate the force- deformation relationships equations, accounting for the presence of active SMA fibers distributed along the cross-section of the beam. The constitutive relationships for evaluation of the properties of a hybrid SMA composite ply were obtained following the rule of mixtures. The analytical expressions of the actuation components for the active beam were derived based on Tanaka’s constitutive equation and Lin’s linear phase transformation kinetics for SMA fiber. The general form of constitutive relation was applied to the case of stretching-twist coupling, corresponding to Circumferentially Uniform Stiffness (CUS). The present analysis extended the previous work done for modeling generic passive thin-walled laminated beams. Numerical results shown that significant stretching and twisting deflection occur during the phase transformation due to SMA actuation. The effects of temperature on structural response behavior during phase transformation from martensite to austenite are significant. The effects of the volume fraction of the SMA fiber, the martensitic residual strain and ply angle were also addressed

Large deflection analysis of cantilever beam under end point and distributed loads

2013 ◽  
Vol 37 (4) ◽  
pp. 438-445 ◽  
Author(s):  
A. Kimiaeifar ◽  
N. Tolou ◽  
A. Barari ◽  
J.L. Herder
Keyword(s):  
Cantilever Beam ◽  
Large Deflection ◽  
End Point ◽  
Deflection Analysis

Study for the Measurement of Cantilever Beam Deflection by Using Digital Projection Speckle Correlation Method (DPSCM)

2013 ◽  
Vol 721 ◽  
pp. 583-586
Author(s):  
Xiao Ou Pan ◽  
Jie Han ◽  
Qiang Wang ◽  
Ji Song Fu ◽  
Jian Nan Liu
Keyword(s):  
Cantilever Beam ◽  
Correlation Method ◽  
New Technique ◽  
Beam Deflection ◽  
Concentrated Load ◽  
Speckle Correlation ◽  
Digital Speckle ◽  
A New Technique ◽  
Digital Projection ◽  
Digital Speckle Correlation

Digital Projection Speckle Correlation Method is a new technique of 3D morphology measurements based on Digital Speckle Correlation Method.In this paper,cantilever beam deflection concentrated load is measured well by DPSCM,which reflects effectiveness of the method.

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