1,721,069 research outputs found
Levinson-Type Benchmarks for Slide-Clamped and Elastically Supported Plates.
No full textIt is shown that, for a transversely isotropic, linearly elastic body in the
form of a right cylinder of arbitrary cross section, explicit and exact equilibrium
solutions of the form first proposed by Levinson [3] can be found not only when
the body is simply supported but also (i) when it is clamped, with vertical sliding
allowed, and (ii) when it is elastically supported. Such new solutions may serve as
further benchmarks for two-dimensional plate theories
Plate Theory as an Exact Consequence of Three-Dimensional Linear Elasticity
No full textStandard presentations of plate theory are generally inconsistent with three-dimensional elasticity: in fact, if one insists on both Kirchhoff's displacements and Lamé's elasticity tensor, consistency is impossible. It is shown here how to resolve the issue of consistency. Plate theory is obtained by thickness integration of the equations for a three-dimensional body occupying a plate-like region, made of a suitably constrained, monoclinic material and subject to general loads. Both single and multilayered plates are considered, the relevant field and boundary operators being derived in terms of both stress resultants and displacements. The special cases of single layered orthotropic plate and mid plane symmetric laminated plate made of orthotropic layers are also discussed
Angle Plates
No full textAn angle plate is a multistructure consisting of two plate-like substructures meeting at a
right angle. We regard it as obtained from a single plate by a thought process of folding such as to
affect the material behavior only in the “elbow” region. We model the three-dimensional plate-like
material region corresponding to the plate to fold as being transversely isotropic with respect to an
axis orthogonal to its base surface, with admissible displacements in the Reissner-Mindlin’s form.
After folding, we require that in the “elbow” region the material be doubly transversely isotropic
and the displacement be the common restriction of the admissible displacements in the two “arm”
plates. Under these assumptions, from a three-dimensional virtual-work formulation of equilibrium
we deduce by mere thickness integration the field, boundary, and transmission equations of our twodimensional
model of a linearly elastic angle plate. Various generalizations of this model are possible,
some of which we occasionally indicate
Seventy years of tensegrities (and counting)
No full textWe try to make a long way short by proceeding per exempla from Kenneth Snelson's sculptures and Richard Buckminster Fuller's coinage of the term tensegrity to modern tensegrity metamaterials. We document the passage from initial interest in tensegrity frameworks for their visual impact to today's interest, driven by their peculiar structural performances. In the past seventy years, the early art pieces and roofing structural complexes have been followed by formalization of the principles governing the form-finding property of 'pure' tensegrity structures and by engineering hybridization leading to a host of diverse practical applications, such as variable-geometry civil engineering structures, on-earth and in-orbit deployable structures and robots, and finally to recent and promising studies on tensegrity metamaterials and small-scale tensegrity structures
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