Improved manufacturing methods have become crucial factors in retaining global competitiveness for a wide range of products. This has led to the development of intelligent, compact and lightweight smart machine tools. A great difficulty is faced in the design of such machine tools due to the fact that the reduction in weight results in low rigidity and poor vibration control characteristics. Th...

This paper is concerned with active vibration reduction of a square isotropic plate, mounted rigidly along one edge to form a cantilever. Optimal placement of ten piezoelectric sensor/actuator pairs is investigated using a genetic algorithm to suppress the first six modes of vibration. A new objective function is developed based on modified Hinfinity to locate the sensor/actuator pairs. The pla...

The advantages of employing multiple approximation methods and the effectiveness of weighted average surrogate modeling for approximation and reduction of helicopter vibrations is studied. Multiple surrogates, including the weighted average approach, are considered so that the need to identify the “best” approximation method for the rotor vibration reduction problem is eliminated. Various appro...

This article presents the use of the synchrosqueezing transform (SST) for the timefrequency analysis of shock and vibration measurements. The time-frequency resolution properties of SST is demonstrated by analyzing acceleration measurements from pallets dropped from heights and vibration of pallets acquired in controlled laboratory settings. The article presents results that indicate that SST, ...

Three problems in simple vibration theory are treated, the longitudinal vibration of a prismatic bar, the lateral vibration of a beam, and the vibration of a circular plate, each with arbitrarily placed discrete loads. It is shown that with the appropriate definition of an inner product on a Hilbert space the spatial differential operator may be made selfadjoint with all of the formal advantage...