Highlights:Graphical/Tabular Abstract Three-Dimensional Linearized Theory of Elasticity is used to analyze the effect of own weight of plate-strip. As the own weight of the plate-strip increases, first fundamental frequencies decreases Absolute values of stresses and displacement distributions around the hole under dynamic bending load increases by increasing the own weight of the plate-strip Figure A. Forces acting on the plate-strip containing a circular hole and variation of dynamic loading and own weight of plate-strip around the hole on stress and displacement distribution.Purpose: This study investigates the effect of own weight on the dynamic analysis of a pre-stretched composite plate-strip containing a circular hole subjected to bending load. These types of problems have been studied in the literature only within the framework of approximate theories without any discontinuous in the structure.
Theory and Methods:The combined effect of body forces (weight) and surface forces (pre-stretching load) on the plate-strip with a hole is considered as the initial stresses determined within the linear theory of elasticity. The effects of these initial stresses on the natural and forced vibrations around the hole within a plate-strip under additional bending load are investigated in the framework of the Three-Dimensional Linearized Theory of Elasticity (TDLTE) under the plane strain state, and the solutions of the considered boundary value problems are solved numerically by using the finite elements method
Results:First fundamental frequencies decrease with the plate-strip's own weight and increase with initial stretching force. First fundamental frequencies decrease with the plate-strip's own weight as the hole approaches the upper face of the plate-strip, while these values are almost unaffected when the weight of the plate-strip is neglected. The values of polar stresses and displacements around the hole increase with increasing density of own weight. The stresses' and displacements' absolute values around the hole are significantly decrease with pre-stretching force, and this effect is greater when considering plate-strip's own weight.
Conclusion:Own weight of the structures are neglected in most investigations, so heavyweight and lightweight structures are assumed as if equal. The own weight of the structures must not be ignored for ensuring the safe structural designs. This paper shows that the influence of the plate's own weight has an important role on the dynamic analysis around the circular hole within a plate-strip.
DOI:This paper investigates the effect of own weight on the dynamic analysis of a pre-stretched composite platestrip containing a circular hole subjected to bending load. The combined effect of body forces (weight) and surface forces (pre-stretching load) on the plate-strip with a hole is considered as the initial stresses determined within the linear theory of elasticity. The effects of these initial stresses on the natural and forced vibrations around the hole within a plate-strip und...