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Exact deflection models of beams with n actuators of shear piezoelectric are developed analytically.
Precise deflection models of beams with n pairs of piezoelectric patches are developed analytically.
A number of examples are given in this paper, from simple spring-mass systems to continuous finite element models of beams and plates.
The model proposed which is an extension of that presented by Aristizabal-Ochoa [2] captures the models of beams and beam-columns based on the theories of Bernoulli Euler, Timoshenko, and bending and shear.
For these different models of beams with varying geometry and boundary conditions are developed.
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Mathematical models of beam and cell with calculations of kerma and dose are presented.
Results of experimental tests on smooth reinforcement and circular hook anchoring devices are also used to discuss some aspects of behavioural models of beam to column critical regions.
The analysis compared the use of three different models of beam-column joint behaviour an accurate multi-linear model with different loading and unloading stiffnesses and two bi-linear models often used in design.
The research results above are all based on the characteristics of ground pressure, and the models of "beam", "arch"and "shell".
Open image in new window Fig. 6 Failure models of beam specimens at mid-span: a MEM-1 5, MEM-1 5:1, and c MEM-1:0.
The vibrations of flexible structures in practice are described by nonlinear models of strings, beams, plates, and so on.
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