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  • 11
    Electronic Resource
    Electronic Resource
    Springer
    Journal of engineering mathematics 5 (1971), S. 161-170 
    ISSN: 1573-2703
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Technology
    Notes: Summary A non-linear theory for shallow shells of revolution is presented in this paper. While arriving at the differential equations, large deformations and small strains are taken into account. The solution of equations in the edge zones is based on the boundary layer theory. These boundary layer solutions, predominant in the narrow edge zones are superposed on the interior solutions, to obtain a complete solution of the problem. For the interior solution, linear and non-linear theories are worked out and it is found that the agreement between the two theories is good even when the ratio of the transverse displacement to the thickness of the shell is large.
    Type of Medium: Electronic Resource
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  • 12
    Electronic Resource
    Electronic Resource
    Springer
    Journal of engineering mathematics 8 (1974), S. 71-79 
    ISSN: 1573-2703
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Technology
    Notes: Summary This paper deals with axisymmetric vibrations of deep sandwich spherical shells. The shell consists of a thick core and two face sheets of the same isotropic material with equal thickness. The appropriate differential equations have been obtained in terms of two new arbitrary functions which replace the meridional displacement components. The solution is in terms of Legendre functions from which numerical results are computed by using an iterative technique. Effects of geometric and elastic properties of the core and the face sheets are presented in the form of graphs.
    Type of Medium: Electronic Resource
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  • 13
    Electronic Resource
    Electronic Resource
    Springer
    Journal of engineering mathematics 9 (1975), S. 333-341 
    ISSN: 1573-2703
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Technology
    Notes: Summary This paper deals with the free non-symmetric vibration of deep spherical sandwich shells. The sandwich shell considered herein consists of three layers. A variational technique is utilized to obtain the equations of motion as well as the appropriate boundary conditions. The effects of transverse shear deformation and rotary inertia have been included in this analysis. New deformation functions have been introduced which considerably simplify the system of differential equations. The final solution is obtained in terms of Legendre functions. Numerical computations have been performed for the symmetric case and graphs are included to show the frequency variation withφ andh/R for various modes.
    Type of Medium: Electronic Resource
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  • 14
    Electronic Resource
    Electronic Resource
    Springer
    Experimental mechanics 14 (1974), S. 412-416 
    ISSN: 1741-2765
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract This paper deals with a study of stress-concentration factors in finite rectangular plates with rectangular inserts. The paper includes the effects of insert size and its orientation on stress concentrations. Photoelastic models for this investigation are made from hard and soft plastics having different elastic properties.
    Type of Medium: Electronic Resource
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