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What's shakin', dude? Effective use of modal shakers

Mayes, R.L.

The purpose of modal testing is usually to provide an estimate of a linear structural dynamics model. Typical uses of the experimental modal model are (1) to compare it with a finite element model for model validation or updating; (2) to verify a plant model for a control system; or (3) to develop an experimentally based model to understand structural dynamic responses. Since these are some common end uses, for this article the main goal is to focus on excitation methods to obtain an adequate estimate of a linear structural dynamics model. The purpose of the modal test should also provide the requirements that will drive the rigor of the testing, analysis, and the amount of instrumentation. Sometimes, only the natural frequencies are required. The next level is to obtain relative mode shapes with the frequencies to correlate with a finite element model. More rigor is required to get accurate critical damping ratios if energy dissipation is important. At the highest level, a full experimental model may require the natural frequencies, damping, modal mass, scaled shapes, and, perhaps, other terms to account for out-of-band modes. There is usually a requirement on the uncertainty of the modal parameters, whether it is specifically called out or underlying. These requirements drive the meaning of the word 'adequate' in the phrase 'adequate linear estimate' for the structural dynamics model. The most popular tools for exciting structures in modal tests are shakers and impact hammers. The emphasis here will be on shakers. There have been many papers over the years that mention some of the advantages and issues associated with shaker testing. One study that is focused on getting good data with shakers is that of Peterson. Although impact hammers may seem very convenient, in many cases, shakers offer advantages in obtaining a linear model. The best choice of excitation device is somewhat dependent on the test article and logistical considerations. These considerations will be addressed in this article to help the test team make a choice between impact hammer and various shaker options. After the choice is made, there are still challenges to obtaining data for an adequate linear estimate of the desired structural dynamics model. The structural dynamics model may be a modal model with the desired quantities of natural frequencies, viscous damping ratios, and mode shapes with modal masses, or it may be the frequency response functions (FRFs), or their transforms, which may be constructed from the modal model. In any case, the fidelity of the linear model depends to a large extent on the validity of the experimental data, which are generally gathered in the form of FRFs. With the goal of obtaining an 'adequate linear estimate' for a model of the structural dynamic system under test, consider several common challenges that must be overcome in the excitation setup to gather adequate data.