The model described in this work treats the filter as a distributed-parameter system. For a micromechanical filter made of two clamped-clamped beam resonators connected via a coupling beam, we solved a boundary-value problem (BVP) composed of five equations and twenty boundary conditions for its natural frequencies and mode shapes.
To the best of our knowledge, there have been few attempts to analytically generate the natural frequencies and mode shapes of multiresonator micromechanical structures characterized by distributed-parameter systems.
Sakawa, "Solution of an optimal control problem in a distributed-parameter system
," IEEE Transactions on Automatic Control, vol.
His work history in industry includes the control of distributed-parameter systems
(flexible space structures), man-machine systems (aircraft), aircraft engines, manufacturing systems and robotics, and advanced diagnostic and alarm management methods.
It covers systems with a single degree of freedom, systems with multiple degrees of freedom, distributed-parameter systems
, random vibrations, and earthquake engineering.
The first four chapters, written by de Silva, are "Time-Domain Analysis," "Frequency-Domain Analysis," "Modal Analysis," and "Distributed-Parameter Systems
." As are all the chapters of the book, each is broken down into discrete parts to deal with different aspects of the topic.