Identification of impact force acting on a cantilever beam using inverse technique

Shrinivas L. Gombi; D. S. Ramakrishna

doi:10.1117/12.921380

2 April 2012 Identification of impact force acting on a cantilever beam using inverse technique

Shrinivas L. Gombi, D. S. Ramakrishna

Proceedings Volume 8409, Third International Conference on Smart Materials and Nanotechnology in Engineering; 84090U (2012) https://doi.org/10.1117/12.921380
Event: Third International Conference on Smart Materials and Nanotechnology in Engineering, 2011, Shenzhen, China

Abstract

It is conventional practice in the study of elasticity to determine the response of a structure to a known force. Such problems are referred to as direct problems as they involve determination of unknown effects of a known cause. The identification problem of determining the force acting on a structure from measurements of response of the structure to force using different types of sensors is the inverse problem. In many practical situations, it is difficult to perform direct measurements of external forces acting on an existing vibrating structure. Instead, the structural response may then be measured from a proper sensor like strain gauges, accelerometers, vibrometers, etc., and position and magnitude of exciting forces be calculated from measured response. Unfortunately, the results from the inverse process are often highly sensitive to noise in the measurements of response and errors in the model of the structure leading to ill conditioning. This paper presents force identification for a cantilever beam subjected to impact force. The acceleration response is used as the input for the prediction. The force prediction algorithm using inverse Frequency Response Function method is developed to determine the history of impact force amplitude by minimizing an objective function using least square method. Results have shown that the general inverse technique can be used to identify unknown forces using response data. Best results are obtained when accelerometer is located close to the location of the unknown forcing function. The developed methodology can be easily extended to other structures for impact force prediction.

Citation Download Citation

Shrinivas L. Gombi and D. S. Ramakrishna "Identification of impact force acting on a cantilever beam using inverse technique", Proc. SPIE 8409, Third International Conference on Smart Materials and Nanotechnology in Engineering, 84090U (2 April 2012); https://doi.org/10.1117/12.921380

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