Efficient mathematical model for interfaces between the host structure and smart devices

Daryoush Allaei

doi:10.1117/12.174218

1 May 1994 Efficient mathematical model for interfaces between the host structure and smart devices

Daryoush Allaei

Proceedings Volume 2192, Smart Structures and Materials 1994: Mathematics and Control in Smart Structures; (1994) https://doi.org/10.1117/12.174218
Event: 1994 North American Conference on Smart Structures and Materials, 1994, Orlando, FL, United States

Abstract

To actively and intelligently control the elastic motions of structures, smart devices (sensors and actuators) need to be attached to or embedded in structural components. In this article an effective semi-numerical approach for mathematical modeling of interfaces between the host structure and smart devices is proposed. The model is based on the component-mode syntheses via receptance method which is most suitable for vibration analysis and control. By utilizing the receptance method, large mass and stiffness matrices of the conventional finite element models are replaced by natural frequencies and mode shapes of the host structure and those of the attached or embedded elements. Three types of interfaces are investigated: point, line, and surface interfaces. Contrary to conventional methods, the line and surfaces are modeled as actual lines and surfaces rather than a finite number of points. The latter, drastically reduces the degrees of freedom and significantly improves the accuracy of the numerical values. Finally, such formulation results in a huge reduction in the size of the model and tremendous gain in computational speed.

Citation Download Citation

Daryoush Allaei "Efficient mathematical model for interfaces between the host structure and smart devices", Proc. SPIE 2192, Smart Structures and Materials 1994: Mathematics and Control in Smart Structures, (1 May 1994); https://doi.org/10.1117/12.174218

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