Interaction between a Timoshenko--Mindlin plate and an attached rib Export

@article{citeulike:928653, abstract = {In contrast to a thin plate having no shear component of deformation, a Timoshenko\&\#150;Mindlin plate cannot support a concentrated line dipole moment exerted by a pair of equal and opposite line forces acting normal to its lateral surface. In this paper, it is argued that, in order to account for all the connectivity between a rib and the plate, it is necessary to assume a nonzero width footprint for the rib upon the plate. This footprint is idealized by a connection between the rib and plate along two lines parallel to the rib. The problem posed is one dimensional, with plate responses invariant in the direction of the rib; therefore, along each line of contact, the rib exerts upon the plate only a normal force and a tangential (shear) force perpendicular to the rib. These four initially independent forces combine to produce resultant opposing forces acting on the end of the rib which generate velocities of the rib that can be related to those of the plate. The response quantity of interest is the structural power reflected from the rib due to a wave propagating freely in a direction normal to the rib and incident upon it. It is shown that the rib footprint cannot be set equal to zero if the rib's rotational properties are to have a meaningful influence on the calculated reflected power.}, author = {Rumerman, M. L.}, citeulike-article-id = {928653}, citeulike-linkout-0 = {http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=JASMAN000104000004002213000001&idtype=cvips&gifs=yes}, citeulike-linkout-1 = {http://link.aip.org/link/?JAS/104/2213}, citeulike-linkout-2 = {http://dx.doi.org/10.1121/1.423734}, doi = {10.1121/1.423734}, journal = {The Journal of the Acoustical Society of America}, keywords = {acoustics, plates}, number = {4}, pages = {2213--2219}, posted-at = {2006-11-04 18:38:01}, priority = {2}, publisher = {ASA}, title = {Interaction between a Timoshenko--Mindlin plate and an attached rib}, url = {http://dx.doi.org/10.1121/1.423734}, volume = {104}, year = {1998} }

TY - JOUR ID - citeulike:928653 L3 - citeulike-article-id:928653 N2 - In contrast to a thin plate having no shear component of deformation, a Timoshenko–Mindlin plate cannot support a concentrated line dipole moment exerted by a pair of equal and opposite line forces acting normal to its lateral surface. In this paper, it is argued that, in order to account for all the connectivity between a rib and the plate, it is necessary to assume a nonzero width footprint for the rib upon the plate. This footprint is idealized by a connection between the rib and plate along two lines parallel to the rib. The problem posed is one dimensional, with plate responses invariant in the direction of the rib; therefore, along each line of contact, the rib exerts upon the plate only a normal force and a tangential (shear) force perpendicular to the rib. These four initially independent forces combine to produce resultant opposing forces acting on the end of the rib which generate velocities of the rib that can be related to those of the plate. The response quantity of interest is the structural power reflected from the rib due to a wave propagating freely in a direction normal to the rib and incident upon it. It is shown that the rib footprint cannot be set equal to zero if the rib's rotational properties are to have a meaningful influence on the calculated reflected power. IS - 4 JF - The Journal of the Acoustical Society of America EP - 2219 TI - Interaction between a Timoshenko--Mindlin plate and an attached rib PB - ASA VL - 104 SP - 2213 KW - acoustics KW - plates AU - Rumerman, ML PY - 1998/// UR - http://dx.doi.org/10.1121/1.423734 ER -