Investigating the Response Variability of Statically Determined Sandwich Beams considering two Random Fields of Elastic Modulus

Authors

  • Dao Ngoc Tien Hanoi Architectural University, Vietnam
  • Tran The Hiep University of Transport and Communications, Vietnam
  • Hoang Van Thanh Vietnam Maritime University, Vietnam
  • Nguyen Van Thuan Nha Trang University, Vietnam
Volume: 14 | Issue: 2 | Pages: 13101-13105 | April 2024 | https://doi.org/10.48084/etasr.6652

Abstract

In this paper, the displacement variation in sandwich beams is determined by employing a semi-analytical approach. The classical displacement is calculated by integration using Mohr’s equation, although the integration is complicated due to the inclusion of random fields in the inertial moment term. Using the trapezoidal rule to compute these integrals, the random fields are discretized into random variables at the nodal point of the beam segments. Thus, the expected displacement, standard deviation, and coefficient of variation can be computed. To validate the results, the random fields are simulated using a previously described spectral method. The results of numerical examples were compared with the semi-analytical method and the Monte Carlo simulation demonstrating the high accuracy of the proposed method. The results also illustrate the influence of the parameters of the random fields of elastic modulus on the variability of displacement.

Keywords:

sandwich beam, random field, semi-analytical approach, SMC

Downloads

Download data is not yet available.

References

B. Du, Q. Li, C. Zheng, S. Wang, C. Gao, and L. Chen, "Application of Lightweight Structure in Automobile Bumper Beam: A Review," Materials, vol. 16, no. 3, Jan. 2023, Art. no. 967.

F. A. Fazzolari, "Sandwich Structures," in Stability and Vibrations of Thin-Walled Composite Structures, H. Abramovich, Ed. Cambridge, MA, USA: Woodhead Publishing, 2017, pp. 49–90.

C. A. Steeves and N. A. Fleck, "Material selection in sandwich beam construction," Scripta Materialia, vol. 50, no. 10, pp. 1335–1339, May 2004.

M. Yan, L. Wang, B. Chen, and H. Gao, "Deflection assessment of prestressed steel-concrete–steel sandwich panel: experiment and numerical simulation," Journal of Sandwich Structures & Materials, vol. 25, no. 3, pp. 351–371, Mar. 2023.

D. Wu, Y. Lei, Z. Wang, B. Yu, and D. Zhang, "Free Vibration Analysis of Carbon-Nanotube-Reinforced Beams Resting on a Viscoelastic Pasternak Foundation by the Nonlocal Eshelby–Mori–Tanaka Method," Mechanics of Composite Materials, vol. 59, no. 3, pp. 479–494, Jul. 2023.

B. Eshmatov, R. Abdikarimov, M. Amabili, and N. Vatin, "Magazine of Civil Engineering Nonlinear vibrations and dynamic stability of viscoelastic anisotropic fiber reinforced plates," Magazine of Civil Engineering, vol. 118, no. 1, Apr. 2023, Art. no. 11811.

M. Rezaiee-Pajand, A. R. Masoodi, and A. Alepaighambar, "Lateral-Torsional Buckling of a Bidirectional Exponentially Graded Thin-Walled C-Shaped Beam," Mechanics of Composite Materials, vol. 58, no. 1, pp. 53–68, Mar. 2022.

T. C. T. Ngoc, "Analytical truss model for concrete beams reinforced with FRP bars," Transport and Communications Science Journal, vol. 74, no. 4, pp. 456–468, May 2023.

H. D. Ta, K. T. Nguyen, T. D. Ngoc, H. T. Do, T. X. Nguyen, and D. D. Nguyen, "Approximation solution for steel concrete beam accounting high-order shear deformation using trigonometric-series," Journal of Materials and Engineering Structures, vol. 9, no. 4, pp. 599–605, Dec. 2022.

A. M. D. de Sousa, L. P. Prado, and M. K. El Debs, "Reliability-based design of reinforced concrete pipes to satisfy the TEBT," Latin American Journal of Solids and Structures, vol. 20, Aug. 2023, Art. no. e500.

J. Liu, B. He, W. Ye, and F. Yang, "High performance model for buckling of functionally graded sandwich beams using a new semi-analytical method," Composite Structures, vol. 262, Apr. 2021, Art. no. 113614.

A. W. de Q. R. Reis, R. B. Burgos, and M. F. F. de Oliveira, "Nonlinear Dynamic Analysis of Plates Subjected to Explosive Loads," Latin American Journal of Solids and Structures, vol. 19, Jan. 2022, Art. no. e422.

S. B. Akhazhanov, N. I. Vatin, S. Akhmediyev, T. B. Akhazhanov, O. Khabidolda, and A. Z. Nurgoziyeva, "Beam on a two-parameter elastic foundation: simplified finite element model," Magazine of Civil Engineering, vol. 121, no. 5, 2023, Art. no. 12107.

J. Singh and A. Kumar, "Vibration and the Buckling Response of Functionally Graded Plates According to a Refined Hyperbolic Shear Deformation Theory," Mechanics of Composite Materials, vol. 59, no. 4, pp. 725–742, Sep. 2023.

A. V. Alekseytsev and S. A. Sazonova, "Numerical analysis of the buried fiber concrete slabs dynamics under blast loads," Magazine of Civil Engineering, vol. 117, no. 1, 2023, Art. no. 11703.

J. Liu, C. Hao, W. Ye, and Q. Zang, "Application of a new semi-analytic method in bending behavior of functionally graded material sandwich beams," Mechanics Based Design of Structures and Machines, vol. 51, no. 4, pp. 2130–2153, Apr. 2023.

H. V. Quan, T. Canh, and V. P. Le, "Vehicle model dynamic analysis under random excitation of uneven pavement as measured by the international roughness index," Transport and Communications Science Journal, vol. 8, pp. 866–880, Oct. 2023.

T. D.Hien, "A static analysis of nonuniform column by stochastic finite element method using weighted integration approach," Transport and Communications Science Journal, vol. 71, pp. 359–367, May 2020.

D. T. Hang, X. T. Nguyen, and D. N. Tien, "Stochastic Buckling Analysis of Non-Uniform Columns Using Stochastic Finite Elements with Discretization Random Field by the Point Method," Engineering, Technology & Applied Science Research, vol. 12, no. 2, pp. 8458–8462, Apr. 2022.

M. L. Larsen, S. Adhikari, and V. Arora, "Analysis of stochastically parameterized prestressed beams and frames," Engineering Structures, vol. 249, Dec. 2021, Art. no. 113312.

H. T. Duy, N. D. Diem, G. V. Tan, V. V. Hiep, and N. V. Thuan, "Stochastic Higher-order Finite Element Model for the Free Vibration of a Continuous Beam resting on Elastic Support with Uncertain Elastic Modulus," Engineering, Technology & Applied Science Research, vol. 13, no. 1, pp. 9985–9990, Feb. 2023.

L. Kurpa, T. Shmatko, and A. Linnik, "Buckling Analysis of Functionally Graded Sandwich Plates Resting on an Elastic Foundation and Subjected to a Nonuniform Loading," Mechanics of Composite Materials, vol. 59, no. 4, pp. 645–658, Sep. 2023.

R. Kumar, A. Lal, and B. M. Sutaria, "Free Vibration of Porous Functionally Graded Sandwich Plates with Hole," Journal of Vibration Engineering & Technologies, vol. 11, no. 8, pp. 4205–4221, Nov. 2023.

H. Sharma, S. Mukherjee, and R. Ganguli, "Uncertainty analysis of higher-order sandwich beam using a hybrid stochastic time-domain spectral element method," International Journal for Computational Methods in Engineering Science and Mechanics, vol. 21, no. 5, pp. 215–230, Aug. 2020.

T. D. Hien, N. D. Hung, N. T. Hiep, G. V. Tan, and N. V. Thuan, "Finite Element Analysis of a Continuous Sandwich Beam resting on Elastic Support and Subjected to Two Degree of Freedom Sprung Vehicles," Engineering, Technology & Applied Science Research, vol. 13, no. 2, pp. 10310–10315, Apr. 2023.

I. A. Karnovsky and O. Lebed, Advanced Methods of Structural Analysis, 2nd ed. New York, NY, USA: Springer, 2021.

M. Shinozuka and G. Deodatis, "Simulation of Stochastic Processes by Spectral Representation," Applied Mechanics Reviews, vol. 44, no. 4, pp. 191–204, Apr. 1991.

Downloads

How to Cite

[1]
D. Ngoc Tien, T. T. Hiep, H. V. Thanh, and N. V. Thuan, “Investigating the Response Variability of Statically Determined Sandwich Beams considering two Random Fields of Elastic Modulus”, Eng. Technol. Appl. Sci. Res., vol. 14, no. 2, pp. 13101–13105, Apr. 2024.

Metrics

Abstract Views: 155
PDF Downloads: 116

Metrics Information

Most read articles by the same author(s)