New schemes for the finite-element dynamic analysis of piezoelectric devices

✍ Scribed by A.V. Belokon'; A.V. Nasedkin; A.N. Solov'yev

• Publisher: Elsevier Science
• Year: 2002
• Tongue: English
• Weight: 687 KB
• Volume: 66
• Category: Article
• ISSN: 0021-8928
• DOI: 10.1016/s0021-8928(02)00058-8

✦ Synopsis

New finite-element schemes are proposed for investigating harmonic and non-stationary problems for composite elastic and piezoelectric media. These schemes develop the techniques for the finite-element analysis of piezoelectric structures based on symmetric and partitioned matrix algorithms. In order to take account of attenuation in piezoelectric media, a new model is used which extends the Kelvin model for viscoelastic media. It is shown that this model enables the system of finite-element equations to be split into separate scalar equations. The Newmark scheme in a convenient formulation, which does not explicitly use the velocities and accelerations of the nodal degrees of freedom, is employed for the direct integration with respect to time of the finite-element equations of non-stationary problems. The results of numerical experiments are presented which illustrate the effectiveness of the proposed techniques and their implementation in the ACELAN finite-element software package.