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Response Analysis of Second-Order Continuity Rectangular Plate Bending Element Resting on Elastic Foundation Using Modified Vlasov Model
https://orcid.org/http://orcid.org/0000-0001-6424-2584
Shallow foundations, which are typically in the shape of beams or plates, carry loads directly from the superstructures to the soil near the ground surface. As a result, shallow foundations remain popular. To improve the design and analysis of shallow foundation systems, several efforts have been made, and advancements have been acknowledged in both the modeling of the soil media and the simulation of contact action between soil and foundation. The solution of plates resting on an elastic foundation can be linked to a number of important practical situations. Direct applications include highway and airport runway reinforced concrete pavements, building foundation slabs, and so on. The foundation and the soil medium work together to resist and support the loads, which complicates the integrated nature of the foundation and the soil medium and these types of structure, are analysis using the concept of “plates on elastic foundation” approach. It is very important to build more practical and simple foundation models for the safe and economical design of transversely loaded plates on elastic foundation. In the present study, a workable approach for analysis of transversely loaded thin plate on two-parameter elastic foundation using modified Vlasov model and second-order (C2) compatible plate bending elements based on the Kirchhoff theory is attempted. To evaluate the two soil parameter for Vlasov foundation, the modulus of elasticity and Poisson ratio of the soil is assumed constant from top surface to the top of bottom rigid base. Using finite element method, all the deformation stiffness matrices of plate and subsoil has been developed. A Matlab code is developed for the present formulation. The results, thus obtained, are compared with similar studies done by other researchers, which show very good conformity. It is concluded that the present approach is simple, effective and more reliable for static analysis of plates on two-parameter Vlasov foundations and the convergence rate is very high, straightforward method for getting stress resultant and takes less computational effort, resources and time.
Response Analysis of Second-Order Continuity Rectangular Plate Bending Element Resting on Elastic Foundation Using Modified Vlasov Model
https://orcid.org/http://orcid.org/0000-0001-6424-2584
Shallow foundations, which are typically in the shape of beams or plates, carry loads directly from the superstructures to the soil near the ground surface. As a result, shallow foundations remain popular. To improve the design and analysis of shallow foundation systems, several efforts have been made, and advancements have been acknowledged in both the modeling of the soil media and the simulation of contact action between soil and foundation. The solution of plates resting on an elastic foundation can be linked to a number of important practical situations. Direct applications include highway and airport runway reinforced concrete pavements, building foundation slabs, and so on. The foundation and the soil medium work together to resist and support the loads, which complicates the integrated nature of the foundation and the soil medium and these types of structure, are analysis using the concept of “plates on elastic foundation” approach. It is very important to build more practical and simple foundation models for the safe and economical design of transversely loaded plates on elastic foundation. In the present study, a workable approach for analysis of transversely loaded thin plate on two-parameter elastic foundation using modified Vlasov model and second-order (C2) compatible plate bending elements based on the Kirchhoff theory is attempted. To evaluate the two soil parameter for Vlasov foundation, the modulus of elasticity and Poisson ratio of the soil is assumed constant from top surface to the top of bottom rigid base. Using finite element method, all the deformation stiffness matrices of plate and subsoil has been developed. A Matlab code is developed for the present formulation. The results, thus obtained, are compared with similar studies done by other researchers, which show very good conformity. It is concluded that the present approach is simple, effective and more reliable for static analysis of plates on two-parameter Vlasov foundations and the convergence rate is very high, straightforward method for getting stress resultant and takes less computational effort, resources and time.
Response Analysis of Second-Order Continuity Rectangular Plate Bending Element Resting on Elastic Foundation Using Modified Vlasov Model
https://orcid.org/http://orcid.org/0000-0001-6424-2584
Shallow foundations, which are typically in the shape of beams or plates, carry loads directly from the superstructures to the soil near the ground surface. As a result, shallow foundations remain popular. To improve the design and analysis of shallow foundation systems, several efforts have been made, and advancements have been acknowledged in both the modeling of the soil media and the simulation of contact action between soil and foundation. The solution of plates resting on an elastic foundation can be linked to a number of important practical situations. Direct applications include highway and airport runway reinforced concrete pavements, building foundation slabs, and so on. The foundation and the soil medium work together to resist and support the loads, which complicates the integrated nature of the foundation and the soil medium and these types of structure, are analysis using the concept of “plates on elastic foundation” approach. It is very important to build more practical and simple foundation models for the safe and economical design of transversely loaded plates on elastic foundation. In the present study, a workable approach for analysis of transversely loaded thin plate on two-parameter elastic foundation using modified Vlasov model and second-order (C2) compatible plate bending elements based on the Kirchhoff theory is attempted. To evaluate the two soil parameter for Vlasov foundation, the modulus of elasticity and Poisson ratio of the soil is assumed constant from top surface to the top of bottom rigid base. Using finite element method, all the deformation stiffness matrices of plate and subsoil has been developed. A Matlab code is developed for the present formulation. The results, thus obtained, are compared with similar studies done by other researchers, which show very good conformity. It is concluded that the present approach is simple, effective and more reliable for static analysis of plates on two-parameter Vlasov foundations and the convergence rate is very high, straightforward method for getting stress resultant and takes less computational effort, resources and time.
Response Analysis of Second-Order Continuity Rectangular Plate Bending Element Resting on Elastic Foundation Using Modified Vlasov Model
Int. J. Pavement Res. Technol.
Dutta, Ashis Kumar (author) / Bandyopadhyay, Debasish (author) / Mandal, Jagat Jyoti (author)
International Journal of Pavement Research and Technology ; 15 ; 1399-1412
2022-11-01
14 pages
Article (Journal)
Electronic Resource
English
Bending Analysis of Stepped Rectangular Plates Resting on an Elastic Half-Space Foundation
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