Static and dynamic behaviour of shallow spherical shells on winkler foundation

Paliwal, D.N.; Sinha, S. N.

doi:10.1016/0263-8231(86)90038-8

Cited by 13 publications

(6 citation statements)

References 6 publications

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“…Shell footing is limited to a few geometries, such as conical, pyramidal, hyper and spherical footings. The structural performance of the shell foundation with respect to membrane stresses, bending moment, shear, deflection and ultimate strength of the shell itself was investigated in a wide range as stated by Paliwal and Rai [3] , Paliwal and Sinha [4] and Melerski [5] . However, the geotechnical behavior of shell foundation to determine the soil response with respect to settlement, bearing capacity, contact pressure distribution and deformation within the soil mass has taken little attention.…”

Section: Introductionmentioning

confidence: 99%

Bearing capacity of shell strip footing on reinforced sand

Azzam

Nasr

2015

Journal of Advanced Research

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In this paper, the ultimate load capacities of shell foundations on unreinforced and reinforced sand were determined by laboratory model tests. A series of loading tests were carried out on model shell footing with and without single layer of reinforcement. The tests were done for shell foundation at different shell embedment depth and subgrade density. The results were compared with those for flat foundations without reinforcement. The model test results were verified using finite element analysis using program PLAXIS. The experimental studies indicated that, the ultimate load capacity of shell footing on reinforced subgrade is higher than those on unreinforced cases and the load settlement curves were significantly modified. The shell foundation over reinforced subgrade can be considered a good method to increase the effective depth of the foundation and decrease the resulting settlement. Also the rupture surface of shell reinforced system was significantly deeper than both normal footing and shell footing without reinforcement. The numerical analysis helps in understanding the deformation behavior of the studied systems and identifies the failure surface of reinforced shell footing.

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Section: Introductionmentioning

confidence: 99%

Bearing capacity of shell strip footing on reinforced sand

Azzam

Nasr

2015

Journal of Advanced Research

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“…Different elastic and viscoelastic foundation models have been introduced to appropriately describe relevant scenarios [65]. The simplest is the Winkler model, in which the foundation is described as a system of independent springs reacting to the deflection of the body [66,67]. Two parameters extensions of the Winkler model have been proposed by Filonenko-Borodich [68] and Pasternak [69][70][71] respectively by considering membrane like interactions (with constant tension) and shear interactions among springs.…”

Section: Substrate Modelmentioning

confidence: 99%

Sensing linear viscoelastic constitutive parameters with a Timoshenko beam on a multi-layer foundation: Modeling and simulation

Fattahi

Spinello

2015

Sensing and Bio-Sensing Research

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a b s t r a c tWe present a sensor model comprised of a Timoshenko beam coupled with a linear viscoelastic substrate via a distributed system of compliant elements. The system of governing equations includes the evolution of the kinematic descriptors of the Timoshenko beam and of the interface between the coupling elements and the viscoelastic substrate. This model is used to pose an inverse problem aimed at estimating the constitutive parameters of the substrate from deformation measurements of the beam. The sensing model is demonstrated by comparing its prediction with published experimentally obtained constitutive parameters identifying standard linear viscoelastic material models, showing good agreement between model estimations and experimental results.

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“…The governing differential equations of the bending problem of simply supported trapezoidal shallow spherical shells on Winkler foundation [6] can be expressed as follows…”

Section: Fundamental Equationsmentioning

confidence: 99%

A Quasi-Green’s Function Method for the Bending Problem of Simply Supported Trapezoidal Shallow Spherical Shells on Winkler Foundation

Li¹,

Yuan²

2012

AMR

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The quasi-Green’s function method (QGFM) is applied to solve the bending problem of simply supported trapezoidal shallow spherical shells on Winkler foundation. A quasi-Green’s function is established by using the fundamental solution and the boundary equation of the problem. And the function satisfies the homogeneous boundary condition of the problem. Then the differential equation of the problem is reduced to two simultaneous Fredholm integral equations of the second kind by the Green’s formula. The singularity of the kernel of the integral equation is overcome by choosing a suitable form of the normalized boundary equation. The comparison with the ANSYS finite element solution shows a good agreement, and it demonstrates the feasibility and efficiency of the proposed method.

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Static and dynamic behaviour of shallow spherical shells on winkler foundation

Cited by 13 publications

References 6 publications

Bearing capacity of shell strip footing on reinforced sand

Bearing capacity of shell strip footing on reinforced sand

Sensing linear viscoelastic constitutive parameters with a Timoshenko beam on a multi-layer foundation: Modeling and simulation

A Quasi-Green’s Function Method for the Bending Problem of Simply Supported Trapezoidal Shallow Spherical Shells on Winkler Foundation

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