On a nonlinear theory of elastic shells.
Elastic shell nonlinear theory, introducing nonsymmetric stress tensor and principles of virtual work and objectivity
SEARCH · Engineering Papers
Search indexed NASA NTRS and DOE OSTI research on propulsion, heat transfer, battery materials and energy systems. Follow report and document links to the original sources.
Quote a phrase for an exact phrase match. Source license links do not imply unrestricted reuse.
Elastic shell nonlinear theory, introducing nonsymmetric stress tensor and principles of virtual work and objectivity
Elastic shells of revolution axisymmetrically loaded analyzed, using multisegment method for solution of boundary value problems governed by nonlinear differential equations
Nonlinear theory of elastic shells with deformation gradients
Longitudinal dynamics of liquid filled elastic shells - interaction liquid and elastic tank, liquid surface instability, and bubble dynamics
Sanders equation for circular cylindrical elastic shell reduced to fourth order PDE
Vibrations of elastic shells containing liquids
Displacement formulations of first order linear thin elastic shell equations in terms of stress resultant and middle surface, using modified Kirchhoff hypothesis
Some theoretical investigations of buckling of elastic shells are surveyed in this report. Only geometrically perfect shells are considered; initial dents and out-of-roundness are not taken into account. Several questions raised by the studies are: (a) Under what conditions is the infinitesimal theory of buckling of shells adequate? (b) How does the energy theory of buckling of shells correlate with the method based on equilibrium equations for bending moments, tensions, and shears in a buckled configuration? (c) How important are nonlinear terms in the tangential displacements u, v in the strain-displacement relations for buckling and post-buckling studies? (d) How important are the boundary conditions for u, v in affecting stability? (e) If a condition of snap-through is approached, how much external work is required to push the shell "over the hump" into the buckled configuration? (f) How reliable are mathematical approximations used previously in the infinitesimal theory of buckling of shells? Tentative and incomplete answers to some of these questions are suggested.
Statistical method in the nonlinear theory of elastic shell
Nonlinear field equations of elastic shell in terms of reference state subjected to strain displacement
Liquid filled thin elastic shells vibrations, discussing various effects
Probability density of extreme values of deflections and stresses of elastic shell nonlinear vibrations under random loads
The vibrations of a cylindrical elastic shell filled with fluid and excited by a monopole acoustic source are studied. The modal mobilities of the shell wall at the source plane are examined for different radial locations of the source. The distribution of vibrational energy between the shell and the fluid field is calculated at various axial locations along the shell and for different radial source locations. An interchange of energy of vibration between the shell and the fluid as the wave field propagates along the shell-fluid system is observed.
A higher-order shear deformation theory of elastic shells is developed for shells laminated of orthotropic layers. The theory is a modification of the Sanders' theory and accounts for parabolic distribution of the transverse shear strains through thickness of the shell and tangential stress-free boundary conditions on the boundary surfaces of the shell. The Navier-type exact solutions for bending and natural vibration are presented for cylindrical and spherical shells under simply supported boundary conditions.
Stress and shear deformation analysis for simple symmetric elastic shells in contact with rigid flat surface
This paper deals with the response of an infinite elastic shell to simple acoustic sources (monopole and dipole). This simplified model is considered in order to gain insight into the characteristics of aircraft interior noise. The shell represents the aircraft fuselage and the sources are due to the propellor. Specifically, in this study the location of the source with respect to the cylinder is the major concern. How this affects acoustic line power, intensity flow into the shell and internal sound pressure is analyzed.
The differential equations which must be solved to predict the buckling load are reviewed. The different possible physical interpretations of these equations are discussed.