BENDING PROBLEM OF RECTANGULAR PLATES OF UNIDIRECTIONAL NONHOMOGENEITY AND VARIABLE THICKNESS WITH TWO OPPOSITE EDGES SIMPLY SUPPORTED UNDER ARBITRARY DISTRIBUTED LOADS

Abstract

Abstract: Using the step reduction method^[1,2] suggested by the first author of this paper, we investigate the problem indicated in the title and obtain the stepped approximate solutions. As an example, the case of a square plate of linearly varying thickness with four edges simply supported under linearly distributed loads is calculated. The obtained results agree well with those given in [3] and thus the exactness of the new method is verified.

Key words: torsional surface wave, Love wave, rigid boundary, porous, wave front

Yeh Kai-yuan;Wang Ying-bang. BENDING PROBLEM OF RECTANGULAR PLATES OF UNIDIRECTIONAL NONHOMOGENEITY AND VARIABLE THICKNESS WITH TWO OPPOSITE EDGES SIMPLY SUPPORTED UNDER ARBITRARY DISTRIBUTED LOADS. Applied Mathematics and Mechanics (English Edition), 1986, 7(10): 947-954.

TrendMD

Add to citation manager EndNote|Reference Manager|ProCite|BibTeX|RefWorks

URL: https://www.amm.shu.edu.cn/EN/

https://www.amm.shu.edu.cn/EN/Y1986/V7/I10/947

[1]	Chengmin NIE, Fu GUO, Yuxin HAO, Xiaojun GU. Stiffness and natural vibration of a rotating sandwich metal porous cantilever pre-twisted plate reinforced by graphene [J]. Applied Mathematics and Mechanics (English Edition), 2026, 47(1): 135-152.
[2]	B. J. GIREESHA, K. J. GOWTHAM. Thermal radiation impact on hybrid nanocomposite flow in stretchable channels: a Darcy-Forchheimer model with the Taylor wavelet approach [J]. Applied Mathematics and Mechanics (English Edition), 2025, 46(6): 1107-1124.
[3]	Xinbiao XIAO, Xinte WANG, Jian HAN, Yuanpeng HE. Comparative study on vibro-acoustic properties of sandwich shells containing functionally-graded porous materials in a thermal environment [J]. Applied Mathematics and Mechanics (English Edition), 2025, 46(5): 947-964.
[4]	Yuxin HAO, Lei SUN, Wei ZHANG, Han LI. Active traveling wave vibration control of elastic supported conical shells with smart micro fiber composites based on the differential quadrature method [J]. Applied Mathematics and Mechanics (English Edition), 2025, 46(2): 305-322.
[5]	R. A. JAFARI-TALOOKOLAEI, H. GHANDVAR, E. JUMAEV, S. KHATIR, T. CUONG-LE. Free vibration and transient response of double curved beams connected by intermediate straight beams [J]. Applied Mathematics and Mechanics (English Edition), 2025, 46(1): 37-62.
[6]	H. HOSSEINI, O. BALILASHAKI. Dynamic stress concentration in an infinitely long cylindrical cavity due to a point spherical source embedded within a fluid-saturated poroelastic formation of infinite extent [J]. Applied Mathematics and Mechanics (English Edition), 2025, 46(1): 139-156.
[7]	K. CHANDAN, K. KARTHIK, K. V. NAGARAJA, B. C. PRASANNAKUMARA, R. S. VARUN KUMAR, T. MUHAMMAD. Radiative heat transfer analysis of a concave porous fin under the local thermal non-equilibrium condition: application of the clique polynomial method and physics-informed neural networks [J]. Applied Mathematics and Mechanics (English Edition), 2024, 45(9): 1613-1632.
[8]	N. HUMNEKAR, D. SRINIVASACHARYA. Influence of variable viscosity and double diffusion on the convective stability of a nanofluid flow in an inclined porous channel [J]. Applied Mathematics and Mechanics (English Edition), 2024, 45(3): 563-580.
[9]	L.I. KUZMINA, Y.V. OSIPOV, A.R. PESTEREV. Deep bed filtration model for cake filtration and erosion [J]. Applied Mathematics and Mechanics (English Edition), 2024, 45(2): 355-372.
[10]	Yongjun JIAN. Oscillatory squeeze flow through an Oldroyd-B fluid-saturated porous layer [J]. Applied Mathematics and Mechanics (English Edition), 2024, 45(11): 2037-2054.
[11]	L. ANITHA, B. J. GIREESHA. Convective flow of Jeffrey nanofluid along an upright microchannel with Hall current and Buongiorno model: an irreversibility analysis [J]. Applied Mathematics and Mechanics (English Edition), 2023, 44(9): 1613-1628.
[12]	Wenhao YUAN, Haitao LIAO, Ruxin GAO, Fenglian LI. Vibration and sound transmission loss characteristics of porous foam functionally graded sandwich panels in thermal environment [J]. Applied Mathematics and Mechanics (English Edition), 2023, 44(6): 897-916.
[13]	B. J. GIREESHA, M. L. KEERTHI. Effect of periodic heat transfer on the transient thermal behavior of a convective-radiative fully wet porous moving trapezoidal fin [J]. Applied Mathematics and Mechanics (English Edition), 2023, 44(4): 653-668.
[14]	Pei ZHANG, P. SCHIAVONE, Hai QING. Dynamic stability analysis of porous functionally graded beams under hygro-thermal loading using nonlocal strain gradient integral model [J]. Applied Mathematics and Mechanics (English Edition), 2023, 44(12): 2071-2092.
[15]	H. V. TUNG, L. T. N. TRANG. Nonlinear stability of advanced sandwich cylindrical shells comprising porous functionally graded material and carbon nanotube reinforced composite layers under elevated temperature [J]. Applied Mathematics and Mechanics (English Edition), 2021, 42(9): 1327-1348.

BENDING PROBLEM OF RECTANGULAR PLATES OF UNIDIRECTIONAL NONHOMOGENEITY AND VARIABLE THICKNESS WITH TWO OPPOSITE EDGES SIMPLY SUPPORTED UNDER ARBITRARY DISTRIBUTED LOADS

PDF

Knowledge

Abstract

Cite this article

share this article

References

Related Articles 15

Recommended Articles

Metrics

Comments