Title :
Fast variation method for elastic strip calculation
Author :
Biryukov, Sergey V.
fDate :
5/1/2002 12:00:00 AM
Abstract :
A new, fast, variation method (FVM) for determining an elastic strip response to stresses arbitrarily distributed on the flat side of the strip is proposed. The remaining surface of the strip may have an arbitrary form, and it is free of stresses. The FVM, as well as the wellknown finite element method, starts with the variational principle. However, it does not use the meshing of the strip. A comparison of FVM results with the exact analytical solution in the special case of shear stresses and a rectangular strip demonstrates an excellent agreement.
Keywords :
acoustic impedance; acoustic wave scattering; boundary-value problems; elasticity; integro-differential equations; stress analysis; surface acoustic waves; variational techniques; IDT strip forms; arbitrarily distributed stresses; boundary conditions; convergence; displacement responses; elastic strip response; fast variation method; integral impedance relation; inverse admittance relation; isotropic strip; linear equations; rectangular strip; sagittal-displacement polarization; shear horizontal polarization; shear stresses; stress response; strip flat side; variational principle; Acoustic transducers; Acoustic waves; Electrodes; Finite element methods; Frequency; Perturbation methods; Stress; Strips; Surface acoustic waves; Acoustics; Algorithms; Computer Simulation; Elasticity; Electrodes; Models, Theoretical; Sensitivity and Specificity; Stress, Mechanical;
Journal_Title :
Ultrasonics, Ferroelectrics, and Frequency Control, IEEE Transactions on
DOI :
10.1109/TUFFC.2002.1002462
