Induced Mass with Free Boundaries
نویسنده
چکیده
5. M. A. Sadowsky and E. Sternberg, Elliptical integral representation of axially symmetric flows, Q. Appl. Math., 8, 113-126 (1950). 6. A. Weinstein, Discontinuous integrals and generalized potential theory, Transact. Amer. Math. Soc., 63, 342-354 (1948). 7. A. Weinstein, Transonic flow and generalized axially symmetric potential theory, Proc. Aeroball. Res. Symposia, Naval Ordnance Laboratory, 1949, pp. 73-82. 8. M. A. Sadowsky and E. Sternberg, Stress concentration around a triaxial ellipsoidal cavity, J. Appl. Mech., 71, 149-159 (1949). 9. A. E. Green, On Boussinesq's problem and penny-shaped cracks, Cambridge Phil. Soc., 45, 251-256 (1948) (this paper contains references to previous work by J. W. Harding and I. N. Sneddon). 10. A. Weinstein, The method of singularities in the physical and in the hodograph plane, to appear in the Proc. Symposia Appl. Math., vol. 4, McGraw-Hill Book Company, Inc., New York, 1952.
منابع مشابه
Free Vibration of Simply Supported Rectangular Composite Plates with Patch Mass
The effect of a distributed patch mass on the natural frequency of vibration of a laminated rectangular plate with simply supported boundaries is investigated. The third order displacement field of a composite laminated rectangular plate is defined using the two variable refined plate theory. Equations of motion of the plate are obtained with the help of calculus of variation. Parametric study ...
متن کاملThe Effect of Anisotropy on Free Vibration of Rectangular Composite Plates with Patch Mass
In this paper, the effect of anisotropy on the free vibration of laminated rectangular plate supporting a localized patch mass is investigated. The two variable refined plate theory is applied to define the third order displacement field of a composite rectangular plate. The plate is considered to have simply supported boundaries. The equations of motion for rectangular plate are obtained by ca...
متن کاملTheoretical, numerical, and experimental analyses of free vibrations of glass fiber reinforced polymer plates with central cutouts and free boundaries
This study explored the free vibration problem in relation to glass fiber reinforced polymer (GFRP) plates with central cutouts and free boundaries using theoretical, experimental, and numerical methods. The theoretical formulations were derived from the classical lamination plate theory. The rectangular cutout was mathematically modeled into the stiffness matrix of the plate by multiplying Hea...
متن کاملNumerical Calculations of Ship Induced Waves
Nowadays, various numerical methods are developed to extend computational fluid dynamics in engineering applications. One of the most useful methods in free surface modeling is Boundary Element Method (BEM). BEM is used to model inviscid fluid flow such as flow around ships. BEM solutions employ surface mesh at all of the boundaries. In order to model the linear free surface, BEM can be modifie...
متن کاملEffect of the Interparticle Interactions on Adsorption-Induced Frequency Shift of Nano-beam-Based Nanoscale Mass-Sensors: A Theoretical Study
It is well-known that the Interparticle interactions between adsorbates and surface of an adsorbent can affect the surface morphology. One of the consequences of this issue is that the resonant frequency of a nanoscale resonator can be changed due to adsorption. In this study we have chosen a cantilever-based nanoscale mass-sensor with a single nanoparticle at its tip. Using the classical...
متن کاملUnsteady free convection flow between two vertical plates with variable temperature and mass diffusion
The unsteady free convection flow between two long vertical parallel plates withvariable temperature and mass diffusion in the presence of the thermal radiation hasbeen presented. The governing dimensionless coupled linear partial differentialequations on the flow are solved by using the Laplace transform technique. TheExact solutions have been obtained for the fluid velocity, temperature and t...
متن کامل