when I simulate the transducer by comsol, I found that the constrain position effects the impedance spectrum significantly, I want to know the proper restrain which has little influence on transducer performance.
Could you offer more details about the answer. What should I sweep, geometry parameters or something else, and after I run the parametric sweep, How can I look for the constraints.
Sorry, but i can't give you a concrete answer about what to sweep. In the end, you should somehow have a feeling of the model and understand which parameter affects it the most. Let's say that you have a "feeling" that changing the position of a constraint (i take it literary that it is a position optimization problem) that affects the result. Then run a parametric sweep over your possible range to test it. if the range is too high, run a first parametric study to decrease the range and then consequent parametric studies to find the main range at which the result is acceptable. Otherwise, an optimization study could be used.