TY - JOUR
T1 - Numerical methods for modal analysis of stepped piezoelectric beams
AU - Maurini, C.
AU - Porfiri, M.
AU - Pouget, J.
N1 - Funding Information:
The present work has been done in the framework of the joint research project “Smart materials and structures: structural control using distributed piezoelectric transducers and passive electric networks” funded by the international agreement between CNRS (France) and CNR (Italy), project n.16283. The authors would also like to acknowledge Prof. A. Sestieri for the comments on a preliminary version of the manuscript and for offering them access to the experimental facilities of the Mechanical Vibrations Laboratory of the University of Rome “La Sapienza”, where the experiments have been performed.
PY - 2006/12/22
Y1 - 2006/12/22
N2 - This paper analyzes different numerical methods for modal analysis of stepped piezoelectric beams modeled by the Euler-Bernoulli beam theory. Results from standard numerical approaches, that rely on the discretization of the stepped beam (assumed modes and finite-element methods), are compared with the solution of the exact transcendental eigenvalue problem for the infinite dimensional system. An accurate and manageable novel method, that enriches the assumed modes basis functions with special jump functions, is presented. Numerical results are compared with experimental data and the accuracy of the adopted beam model is validated.
AB - This paper analyzes different numerical methods for modal analysis of stepped piezoelectric beams modeled by the Euler-Bernoulli beam theory. Results from standard numerical approaches, that rely on the discretization of the stepped beam (assumed modes and finite-element methods), are compared with the solution of the exact transcendental eigenvalue problem for the infinite dimensional system. An accurate and manageable novel method, that enriches the assumed modes basis functions with special jump functions, is presented. Numerical results are compared with experimental data and the accuracy of the adopted beam model is validated.
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U2 - 10.1016/j.jsv.2006.05.041
DO - 10.1016/j.jsv.2006.05.041
M3 - Article
AN - SCOPUS:33748766081
SN - 0022-460X
VL - 298
SP - 918
EP - 933
JO - Journal of Sound and Vibration
JF - Journal of Sound and Vibration
IS - 4-5
ER -