Relevant bibliographies by topics / Timoshenko equivalent beam

Contents

  1. Journal articles
  2. Conference papers
  3. Reports

Academic literature on the topic 'Timoshenko equivalent beam'

Author: Grafiati
Published: 3 June 2025
Last updated: 31 July 2025

Create a spot-on reference in APA, MLA, Chicago, Harvard, and other styles

Select a source type:

Consult the lists of relevant articles, books, theses, conference reports, and other scholarly sources on the topic 'Timoshenko equivalent beam.'

Next to every source in the list of references, there is an 'Add to bibliography' button. Press on it, and we will generate automatically the bibliographic reference to the chosen work in the citation style you need: APA, MLA, Harvard, Chicago, Vancouver, etc.

You can also download the full text of the academic publication as pdf and read online its abstract whenever available in the metadata.

Journal articles on the topic "Timoshenko equivalent beam"

1

Ferretti, Manuel, and Francesco D’Annibale. "Buckling of Planar Micro-Structured Beams." Applied Sciences 10, no. 18 (2020): 6506. http://dx.doi.org/10.3390/app10186506.

Full text
Abstract:
In this paper, a Timoshenko beam model is formulated for buckling analysis of periodic micro-structured beams, uniformly compressed. These are planar grid beams, whose micro-structure consists of a square lattice of equal fibers, modeled as Timoshenko micro-beams. The equivalent beam model is derived in the framework of a direct one-dimensional approach and its constitutive law, including the effect of prestress of the longitudinal fibers, is deduced through a homogenization approach. Accordingly, micro–macro constitutive relations are obtained through an energy equivalence between a cell of t
APA, Harvard, Vancouver, ISO, and other styles
2

D’Annibale, Francesco, Manuel Ferretti, and Angelo Luongo. "Static and Dynamic Responses of Micro-Structured Beams." Applied Sciences 10, no. 19 (2020): 6836. http://dx.doi.org/10.3390/app10196836.

Full text
Abstract:
In this study, we developed a one-dimensional Timoshenko beam model, embedded in a 3D space for static and dynamic analyses of beam-like structures. These are grid cylinders, that is, micro-structured bodies, made of a periodic and specifically designed three-dimensional assembly of beams. Derivation is performed in the framework of the direct 1D approach, while the constitutive law is determined by a homogenization procedure based on an energy equivalence between a cell of the periodic model and a segment of the solid beam. Warping of the cross-section, caused by shear and torsion, is approxi
APA, Harvard, Vancouver, ISO, and other styles
3

Fu, Chao. "Vibration Analysis of Viscoelastic Timoshenko Cracked Beams with Massless Viscoelastic Rotational Spring Models." Journal of Applied Mathematics 2023 (July 31, 2023): 1–11. http://dx.doi.org/10.1155/2023/2341137.

Full text
Abstract:
Based on the equivalent bending stiffness of the viscoelastic cracked beam with open cracks, the corresponding complex frequency characteristic equations of a Timoshenko viscoelastic cracked beam are obtained by using the method of separation of variables and the Laplace transform. The vibration characteristics of a viscoelastic Timoshenko cracked beams with the standard linear solid model and Kelvin-Voigt model are investigated. By numerical examples, the effects of the crack location, crack number, crack depth, and slenderness ratio on the vibration characteristics of the viscoelastic cracke
APA, Harvard, Vancouver, ISO, and other styles
4

Cluni, Federico, Stefano Fiorucci, Vittorio Gusella, and Massimiliano Gioffrè. "Estimation of the Mechanical Parameters for a Reduced Coupled Flexural–Torsional Beam Model of a Tall Building by a Sub-Structure Approach." Applied Sciences 11, no. 10 (2021): 4655. http://dx.doi.org/10.3390/app11104655.

Full text
Abstract:
The use of equivalent beam models to estimate the dynamical characteristics of complex tall buildings has been investigated by several authors. The main reason is the structural response estimation to stochastic loads, such as wind and earthquake, using a reduced number of degrees of freedom, which reduces the computational costs and therefore gives the designer an effective tool to explore a number of possible structural solutions. In this paper, a novel approach to calibrate the mechanical and dynamical features of a complete 3D Timoshenko beam, i.e., describing bending, shear and torsional
APA, Harvard, Vancouver, ISO, and other styles
5

Xing, Yufeng, Lingyu Meng, Zhiwei Huang, and Yahe Gao. "A Novel Efficient Prediction Method for Microscopic Stresses of Periodic Beam-like Structures." Aerospace 9, no. 10 (2022): 553. http://dx.doi.org/10.3390/aerospace9100553.

Full text
Abstract:
This paper presents a novel superposition method for effectively predicting the microscopic stresses of heterogeneous periodic beam-like structures. The efficiency is attributed to using the microscopic stresses of the unit cell problem under six generalized strain states to construct the structural microscopic stresses. The six generalized strain states include one unit tension strain, two unit bending strains, one unit torsion strain, and two linear curvature strains of a Timoshenko beam. The six microscopic stress solutions of the unit cell problem under these six strain states have previou
APA, Harvard, Vancouver, ISO, and other styles
6

Zhang, Yi, Li Chen, Guo Liang Cheng, and Qing Hua Li. "Non-Dimensional Vibration of Timoshenko Beams with Axial Loads." Advanced Materials Research 368-373 (October 2011): 1577–82. http://dx.doi.org/10.4028/www.scientific.net/amr.368-373.1577.

Full text
Abstract:
The paper is supposed to establish a non-dimensional approach to analyze the free vibration of axially loaded beams with different kinds of boundary conditions, based on the Timoshenko’s beam theory and the method of separation of variables. When the mode-shapes and frequencies are known, it is convenient to get the equivalent load vector, equivalent mass matrix and the frequencies matrix, then, the characteristics of vibration of axially loaded beams will be obtained by the approach. The results and conclusions were also helpful to the anti-blast analysis of columns
APA, Harvard, Vancouver, ISO, and other styles
7

Khiem, Nguyen Tien, and Duong The Hung. "A closed-form solution for free vibration of multiple cracked Timoshenko beam and application." Vietnam Journal of Mechanics 39, no. 4 (2017): 315–28. http://dx.doi.org/10.15625/0866-7136/9641.

Full text
Abstract:
A closed-form solution for free vibration is constructed and used for obtaining explicit frequency equation and mode shapes of Timoshenko beams with arbitrary number of cracks. The cracks are represented by the rotational springs of stiffness calculated from the crack depth. Using the obtained frequency equation, the sensitivity of natural frequencies to crack of the beams is examined in comparison with the Euler-Bernoulli beams. Numerical results demonstrate that the Timoshenko beam theory is efficiently applicable not only for short or fat beams but also for the long or slender ones. Neverth
APA, Harvard, Vancouver, ISO, and other styles
8

Li, Xiao, Shi Ping Li, Xu Dong Shi, and Min Ding. "Interpolation-Element for Beam on Winkler Elastic Foundation." Applied Mechanics and Materials 467 (December 2013): 354–60. http://dx.doi.org/10.4028/www.scientific.net/amm.467.354.

Full text
Abstract:
On the basis of the deformation characteristics of Euler and Timoshenko beams on Winkler elastic foundation, the displacement shape functions were created. Lagrange interpolation function was used for the deformation in the axial direction, and Hermite interpolation function was applied in the bending direction. By applying the principle of minimum potential energy, energy integral and variation, the stiffness matrixes and equivalent load arrays of Euler and Timoshenko beams were derived. The model of elastic foundation beam was built by using elements constructed in this paper. And the beam d
APA, Harvard, Vancouver, ISO, and other styles
9

White, M. W. D., and G. R. Heppler. "Vibration of a Rotating Timoshenko Beam." Journal of Vibration and Acoustics 118, no. 4 (1996): 606–13. http://dx.doi.org/10.1115/1.2888341.

Full text
Abstract:
Timoshenko beam theory is used to model a flexible slewing link with an attached payload using two different rotating frames of reference: pseudo-pinned and pseudo-clamped. The boundary conditions are presented for both formulations; these lead naturally to the frequency equation for the link. The infinite dimensional model of the slewing link is then approximated by a finite dimensional model. Finally, these two formulations are shown to be equivalent through a simple transformation.
APA, Harvard, Vancouver, ISO, and other styles
10

Liu, Xuemei, and Zichen Deng. "Generalized Multi-Symplectic Numerical Implementation of Dynamic Responses for Saturated Poroelastic Timoshenko Beam." Xibei Gongye Daxue Xuebao/Journal of Northwestern Polytechnical University 38, no. 4 (2020): 774–83. http://dx.doi.org/10.1051/jnwpu/20203840774.

Full text
Abstract:
Based on the porous media theory and Timoshenko beam theory, properties of dynamic responses in fluid-solid coupled incompressible saturated poroelastic Timoshenko beam are investigated by generalized multi-symplectic method. Dynamic response equation set of incompressible saturated poroelastic Timoshenko beam is presented at first. Then a first order generalized multi-symplectic form of this dynamic response equation set is constructed, and errors of generalized multi-symplectic conservation law, generalized multi-symplectic local momentum and generalized multi-symplectic local energy are als
APA, Harvard, Vancouver, ISO, and other styles
More sources

Conference papers on the topic "Timoshenko equivalent beam"

1

Xie, M., F. M. L. Amirouche, and M. Valco. "Dynamic Analysis of Gear Meshing Teeth Using Modified Timoshenko Beam Theory." In ASME 1992 Design Technical Conferences. American Society of Mechanical Engineers, 1992. http://dx.doi.org/10.1115/detc1992-0057.

Full text
Abstract:
Abstract An explicit dynamical formulation of the gear meshing teeth using modified Timoshenko beam theory is presented in this paper. The acting position direction and magnitude of the external force is assumed time variant. The meshing tooth is modeled as a cantilever beam where the inertia forces due to the large rotation of the tooth base, as well as the external equivalent axial force and moment are all included in the equations of motion. Computer algorithms for gear dynamics based on the theory developed is presented. In the numerical simulations, the involute for the gear tooth profile
APA, Harvard, Vancouver, ISO, and other styles
2

Nour, Said I., and Mohsen A. Issa. "Effects of Different Models on Natural Frequencies of Short Span Bridges Used in High Speed Rail." In 2015 Joint Rail Conference. American Society of Mechanical Engineers, 2015. http://dx.doi.org/10.1115/jrc2015-5772.

Full text
Abstract:
The natural frequencies of vibration of short span bridges used in high-speed rail were investigated. Three different models of increasing complexity were evaluated and their effects on the vibration frequency were compared to the first basic model of simply supported Euler-Bernoulli beam. In the second and third cases, the bridge was modeled as an Euler-Bernoulli and Timoshenko beam supported at its two ends by identical spring elements with an equivalent vertical stiffness to simulate elastomeric bearings and soil foundation. The boundary value problem was solved numerically to extract the b
APA, Harvard, Vancouver, ISO, and other styles
3

Tajalli, S. A., M. H. Kahrobaiyan, M. Rahaeifard, M. T. Ahmadian, M. R. Movahhedy, and J. Akbari. "Mechanical Behavior Analysis of Micro-Scaled Functionally Graded Timoshenko Beams by the Strain Gradient Theory." In ASME 2012 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2012. http://dx.doi.org/10.1115/detc2012-70317.

Full text
Abstract:
In this paper, a size-dependent formulation is developed for Timoshenko beams made of functionally graded materials (FGM). The developed formulation is based on the strain gradient theory; a non-classical continuum theory able to capture the size-effect in micro-scaled structures. Considering the material length scale parameters of the FG beams vary through the thickness, the new equivalent length scale parameters are proposed as functions of the constituents’ length scale parameters to describe the size-dependent static and dynamic behavior of FG microbeams. The governing differential equatio
APA, Harvard, Vancouver, ISO, and other styles
4

Wang, Lifeng, Saisai Liu, and Jianpeng Yi. "Vibration of Zinc Oxide Nanowires in Electric Field." In ASME 2017 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2017. http://dx.doi.org/10.1115/imece2017-71209.

Full text
Abstract:
This paper studies the vibration of Zinc oxide (ZnO) nanowires in electric field via molecular dynamics (MD) simulation and continuum beam models. First, the size effects of the equivalent Young’s modulus and piezoelectric constant of ZnO nanowires are obtained by MD simulation and characterized by core-shell model. The piezoelectric constants of ZnO nanowires decrease with the rising of the size of cross section. The equivalent tensile and bending Young’s modulus of ZnO nanowires in polarization direction increases with the increasing of the cross section size. The equivalent tensile and bend
APA, Harvard, Vancouver, ISO, and other styles
5

Wang, Z. C., W. L. Cleghorn, and S. D. Yu. "Free Vibration of Spinning Stepped Timoshenko Beams Using Finite Element Method." In ASME 2000 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2000. http://dx.doi.org/10.1115/imece2000-2175.

Full text
Abstract:
Abstract Free lateral vibration of stepped shafts is investigated in this paper using the Timoshenko beam theory and the finite element method. Beam finite elements having two nodes and 16 degrees of freedom were employed to model flexural vibration of a stepped shaft for a total four field variables — two lateral displacements and two bending angles. Within each uniform segment, the stepped shaft is modeled as a substructure for which a system of equations of motion may be easily formulated using the Galerkin method. The global equations of motion for the entire stepped shaft are subsequently
APA, Harvard, Vancouver, ISO, and other styles
6

Salehian, Armaghan, Eugene M. Cliff, and Daniel J. Inman. "Continuum Modeling of a Slewing ISAT (Innovative Space Antenna Technology)." In ASME 2005 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2005. http://dx.doi.org/10.1115/detc2005-84025.

Full text
Abstract:
A simple approach is presented herein for obtaining the equivalent continuum model of an ISAT (Innovative Space Antenna Technology) truss structure in order to find the free vibration solutions for different coordinates of vibration. Kinetic and potential energy expressions are written in terms of the strain components of the elements and the nodal velocities. The Lagrangian approach is employed to find the governing partial differential equations of the structure which for the bending degrees of freedom lead to an equivalent Timoshenko beam. Finally, the physical characteristics of the contin
APA, Harvard, Vancouver, ISO, and other styles
7

Salehian, Armaghan, T. Michael Seigler, and Daniel J. Inman. "Control of the Continuum Model of a Large Flexible Space Structure." In ASME 2006 International Mechanical Engineering Congress and Exposition. ASMEDC, 2006. http://dx.doi.org/10.1115/imece2006-13362.

Full text
Abstract:
An analytical approach is presented here to develop a continuum model of a space radar antenna and the truss structure for the purpose of the control and vibration suppression. Kinetic and potential energy expressions are given for the equivalent homogenized 1-D model. Hamilton's principle is applied to find the governing partial differential equations for this structure. The equations for bending are similar to an extended Timoshenko beam model. A Linear, Quadratic, Regulator (LQR) problem is solved to find the optimal solution for feedback control design of the distributed parameter model. T
APA, Harvard, Vancouver, ISO, and other styles
8

Zhao, Bingxi, Qi Yuan, and Pu Li. "Dynamic Analysis and Optimization on Assembly Parameters of Rod Fastening Rotor System With Manufacturing Tolerances." In ASME Turbo Expo 2019: Turbomachinery Technical Conference and Exposition. American Society of Mechanical Engineers, 2019. http://dx.doi.org/10.1115/gt2019-90256.

Full text
Abstract:
Abstract Rod fastening rotor (RFR), as a typical rotor structure of gas turbine which is different from the integral rotor, is comprised of a set of discs clamped together by a central tie rod or several tie rods on the pitch circle diameters. In process of machining, tolerances of the disc are inevitable, of which the parallelism error and mass imbalance are focused on in this paper. Firstly, the complex bending of RFR by accumulation of parallelism errors of discs is derived through the coordinate transmission. Then the static analysis of RFR is performed to obtain the additional pressure by
APA, Harvard, Vancouver, ISO, and other styles
9

Skec, Leo, and Giulio Alfano. "Characterisation of rate-dependent fracture in adhesive joints." In UK Association for Computational Mechanics Conference 2024. Durham University, 2024. http://dx.doi.org/10.62512/conf.ukacm2024.044.

Full text
Abstract:
For adhesive joints, several authors questioned the applicability of LEFM when the combination between the ductility of the adhesive, the stiffness of the adherents and the fracture mode leads to a relatively large process zone during crack propagation. For such cases, nonlinear fracture mechanics (NLFM) and the use of the critical value, 𝐽𝑐, of the J integral have been recommended. This was until it was recently showed, at least for the case of mode-I crack propagation along a thin interface, that the difference between 𝐺𝑐 and 𝐽𝑐is found to be equal to the partial derivative with respect to t
APA, Harvard, Vancouver, ISO, and other styles
10

Lu, Mingjian, Haipeng Geng, Guohui Xu, Lie Yu, and Weimin Wang. "Analytical and Experimental Study of Dynamic Characteristics of Rod Fastened Rotor-Bearing System Under Preload Saturation." In ASME Turbo Expo 2013: Turbine Technical Conference and Exposition. American Society of Mechanical Engineers, 2013. http://dx.doi.org/10.1115/gt2013-95397.

Full text
Abstract:
This paper investigates the dynamic characteristics of a composite rotor fastened by rods. Contact stiffness and equivalent bending stiffness between discs with different rod preloads of the rotor are obtained respectively by using the elastic and elastic-plastic contact theory. The finite element model of rotor-bearing system is built with Timoshenko beam elements. Critical speeds are respectively calculated with and without the consideration of contact effect, including the changing bearing dynamic coefficients. A test rig of rod fastening rotor-bearing system has been constructed to verify
APA, Harvard, Vancouver, ISO, and other styles

Reports on the topic "Timoshenko equivalent beam"

1

Rahmani, Mehran, Xintong Ji, and Sovann Reach Kiet. Damage Detection and Damage Localization in Bridges with Low-Density Instrumentations Using the Wave-Method: Application to a Shake-Table Tested Bridge. Mineta Transportation Institute, 2022. http://dx.doi.org/10.31979/mti.2022.2033.

Full text
Abstract:
This study presents a major development to the wave method, a methodology used for structural identification and monitoring. The research team tested the method for use in structural damage detection and damage localization in bridges, the latter being a challenging task. The main goal was to assess capability of the improved method by applying it to a shake-table-tested prototype bridge with sparse instrumentation. The bridge was a 4-span reinforced concrete structure comprising two columns at each bent (6 columns total) and a flat slab. It was tested to failure using seven biaxial excitation
APA, Harvard, Vancouver, ISO, and other styles
You might also be interested in the extended bibliographies on the topic 'Timoshenko equivalent beam' for particular source types:
Journal articles
We offer discounts on all premium plans for authors whose works are included in thematic literature selections. Contact us to get a unique promo code!

To the bibliography