Composites are known to display a considerable amount of scatter in their material properties due to large number of parameters associated with the manufacturing and fabrication processes. In the present work, the material properties have been taken as random variables for accurate prediction of the
Natural frequencies of composite plates with tailored thermal residual-stresses
✍ Scribed by Sérgio Frascino Müller de Almeida; Jorn S. Hansen
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 720 KB
- Volume
- 36
- Category
- Article
- ISSN
- 0020-7683
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✦ Synopsis
Thermal residual!stresses introduced during manufacture and their e}ect on the natural frequencies and vibration modes of stringer sti}ened composite plates is investigated[ The principal idea in the work is to include sti}eners on the perimeter of a composite plate in which the laminate design of the sti}eners and plate are di}erent[ Such an arrangement yields manufacturing induced thermal residual!stresses^these stresses result from the di}erence in manufacturing and operating temperatures as well as the di}erence in thermal expansion coe.cients and elastic properties of the plate and the sti}eners[ The analysis is based on an enhanced ReissnerÐMindlin plate theory and involves two separate calculations[ In the _rst\ the thermal residual!stress state is determined for an unconstrained plate[ In the second\ the free vibration problem is solved^thermal e}ects from the _rst calculation are included by way of nonlinear membrane!bending coupling which in turn de_nes the free vibration reference state[ The problem is solved using a 05!node bi! cubic Lagrange element in a _nite element formulation[ Three di}erent plate!sti}ener geometries are used to illustrate the e}ects of stringer size\ stringer placement and temperature di}erence[ Two principal results are obtained] _rst\ it is shown that thermal residual!stresses can have a signi_cant e}ect on the natural frequencies^secondly\ thermal residual!stresses can be tailored to increase natural frequencies[ Therefore it is concluded that an evaluation of these stresses and a judicious analysis of their e}ects must be included in the design of this class of composite structures[ Þ 0888 Elsevier Science Ltd[ All rights reserved[ Nomenclature b reinforcement width ðBŁ matrix relating linear strain components and nodal displacements ðB G Ł matrix relating non!linear strain components and nodal displacements
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This study aims to investigate the thermal residual stress effect on the constitutive behaviors of fiber composites with three different fiber arrays, i.e., square edge packing, square diagonal packing, and hexagonal packing. The repeating unit cell (RUC) containing fiber and matrix phase was employ