B.P. Shastry

Dynamic stability of bars considering shear deformation and rotatory inertia

Dynamic stability of bars including shear deformation and rotatory inertia are investigated in this paper using finite element formulation for various slenderness ratios. Stability and frequency parameters and instability regions for these bars for various end conditions and slenderness ratios are presented. A master dynamic stability curve covering all the end conditions and slenderness ratios of the bar is presented in the non-dimensionalized form.

Vibrations of thin rectangular plates with arbitrarily oriented stiffeners

Free vibration of plates with arbitrarily oriented stiffeners are studied using high precision plate bending and stiffener elements. Good convergence of frequency values for coarse mesh is demonstrated. Natural frequencies of square plates with various arrangement of stiffeners are determined for both simply supported and clamped boundary conditions.

Dynamic stability of short cantilever columns subjected to distributed axial loads

Abstract Dynamic stability of short cantilever columns subjected to two types of distributed loads are investigated by using a finite element formulation. Buckling load parameters and frequency parameters bounding the instability regions are presented for various slenderness ratios.

Dynamic stability of cantilever columns resting on an elastic foundation

Abstract Instability boundaries for cantilever columns resting on an elastic foundation are determined using finite element method for various foundation modulii. The study reveals that dynamic stability boundaries for such columns can be represented in terms of three separate dynamic stability curves corresponding to low foundation moduli, high foundation moduli and the transition regions of foundation moduli.

Stability of square plates with through transverse cracks

Stability behaviour of square plates with transverse through cracks under uniaxial compression is studied using high precision triangular plate elements. Stability parameters for various crack lengths are presented for both simply supported and clamped square plates.

Studies on stress concentration in tensile strips with large circular holes

The stress concentration factor K in a tensile strip with large circular hole is accurately determined using a high precision, plane stress, triangular element. The values of a/w where a is the diameter of the hole and w is the width of the strip, considered range from 0.99 to 0.999. The values of K obtained found to be very near to but greater than 2.0, when linear analysis is performed. Some discrepancies in the stress values at the outer free edge observed in the present linear analysis compared to the well documented experimental values prompted the authors to go for geometrically nonlinear analysis gave a K value which is a function of the load applied, less than 2.0 and for sufficiently large loads this value is very near but slightly greater than 1.0.

Stability of square plates resting on four symmetrically placed point supports on diagonals

Abstract The stability of square plates resting on four symmetrically placed point supports on their diagonals is studied using a high precision, triangular plate bending element. It is seen that the stability parameters of these plates under constant uniform biaxial and uniaxial compressive, loads are independent of point support location. The buckling mode shape for the biaxial case remains the same irrespective of the location of the point support with the diagonals as nodal lines while for the uniaxial case buckling mode shape differs and depends on the point support location.

Stability of columns subjected to an intermediate concentrated load

Abstract In column stability studies where columns are subjected to intermediate concentrated loads, effects of shear deformation will be predominant even though the columns are slender when the loaded length of the column is appreciably small compared with its overall length. This aspect is studied in detail in this paper and realistic estimates for the stability parameters of columns subjected to intermediate concentrated loads are presented.

Lateral stability of cantilever beams subjected to concentrated or uniformly distributed loads

The lateral stability of a cantilever beam subjected to an arbitrarily located concentrated load or uniformly distributed load is investigated in this note using the finite element method. A triangular, nonconforming plate bending element is used to idealize the beam. Results obtained for the special cases in the present analysis agree well with standard results.

Stability of partially supported square plates using high precision triangular finite elements

The stability of square plates with partial supports under uniaxial or biaxial uniformly distributed compressive loads is studied using high precision triangular finite elements. Stability parameters are evaluated for both partially simply supported and partially clamped plates for various values of support ratios: limiting values of the support ratios being either fully simply supported/clamped or point supported at the corners/mid-points of the edges.