@article{MAKHILLJEAS200831013059,
    title = {Finite Element Formulation of a Beam with Piezoelectric Patch},
    journal = {Journal of Engineering and Applied Sciences},
    volume = {3},
    number = {10},
    pages = {803-807},
    year = {2008},
    issn = {1816-949x},
    doi = {jeasci.2008.803.807},
    url = {https://makhillpublications.co/view-article.php?issn=1816-949x&doi=jeasci.2008.803.807},
    author = {A. Mahieddine and},
    keywords = {Piezoelectric materials,beams,vibration control,lateral strain,sensors,actuators},
    abstract = {A finite element model is used to analyze beams with piezoelectric sensors and actuators. The formulation is based on first order Kirchoff theory and accounts for lateral strains. Various parametric studies are conducted to demonstrate the effectiveness of piezoelectrics in actively controlling the vibration of beams.}
    }