For an intelligent plate with piezoceramics slices attached on both surfaces,an element model with 12 DOFs and 2 electrical DOFs is adopted and the dynamics differential equations are deduced by means of Hamilton principle,and whose order is lowered in state space by modal truncation,minimal realization and balancing xeduction.

In this paper,dynamic modeling and application of the modal truncation approach(MTA) to a high-speed rotating thin elastic plate are studied.

In order to avoid time consuming solution of equations in complex structure dynamics analysis,modal truncation method was studied herein.

By using modal truncation technique,the frequency-domain modal transfer function and displacement response of the primary and secondary structures are obtained respectively.

A mathematic model of active magnetic bearing (AMB) rotor was formulated using the modal truncation method for an experimental helium turbo rotor in a 10 MW high temperature gas cooled test module reactor.

Since the modes of foundation are dense,by taking the criterion of energy response as mode truncation index,the energy norm and criterion are established to calculate the mode truncated order of dynamic compaction response.

By using the modal superposition method for the dynamic responses calculation of the linear oscillation system, a judging indictor in the energy norm form is given to determine the number of dominant modes on mode truncation.

The effect of the mode truncation on the accuracy of impact parameters identified and the dynamics of vibro impacting system is discussed through an illustrative example of two vibro impacting elastic beams.

Critical speeds of modern high-speed hollow spindle are calculated, and the influences of main structural parameters upon critical speed are also studied using component mode synthesis method.

The bridge and the vehicle are treated as two branches of a coupling dynamic system respectively, and the mode synthesis method is applied to analyzing the responses of the coupling system.

The main problem of the mode synthesis method, applied in structural vibration analysis of prefabricated bridges, is how to select relevant number of low frequency modes synthesized during the course that displacements of substructures are expressed in generalized coordinates that are defined by displacement modes.

Application of component mode synthesis in ANSYS;

Then,the basic principle of free interface component mode synthesis was introduced.

For a car including power train,engine cradle,car body,mass without spring and those substructures with linear and nonlinear joints,the scheme of component mode synthesis is employed to model dynamical systems of the car with hysteresis nonlinearity and rigid-elastic coupling.