The fundamental frequency of a rectangular orthotropic plate having an arbitrary thickness variation is computed by using the method of Modi ed Vibrational Mode (MVM) shapes. The change of thickness within a plate is characterized by introducing a tapering index. It is shown that the vibrational mode shapes of a tapered plate is in fact a linear combination of various mode shapes of intact plat...

Keywords: Frequencies and mode shapes Component mode synthesis Craig–Bampton scheme Bathe subspace iteration method Control of errors a b s t r a c t The objective in this paper is to present an approach to improve component mode synthesis solutions using subspace iterations to obtain frequency and mode shape predictions of controlled accuracy. In traditional component mode synthesis analyses, ...

The dynamic behaviour of a circular plate in contact with fluid and resting on two-parameter elastic foundations is of interest in the field of geotechnics, structure, highway, railway, oil and gas and mechanical engineering. In this work, the dynamic behaviour of circular plate in contact with fluid and resting on Winkler and Pasternak foundations is investigated. The coupled differential equa...

One of the major problems in experimental vibration analysis is to determine location of transducers. It is important to place the transducers on locations with largest vibration amplitude and to avoid locations with zero-movement (nodal lines). These locations are best seen from vibration mode shapes. Finite element analysis (FEA) provides numerical values for natural frequencies, which are so...

The mode shapes of piezoelectric metamaterials are tuned by manipulating spatially the electrical boundary conditions piezo-elements, in a desired and controlled manner, order to tailor wave propagation characteristics through these metamaterials. piezo-elements using inductive shunting networks. With appropriate tuning optimization spatial distribution conditions, it would be possible alter sh...

To prevent lifetime shortening and premature failure in turbine runners, it is of paramount importance to analyse understand its dynamic response determine the factors that affect it. In this paper, a Kaplan runner analysed air by numerical experimental methods. First, start analysis mode shapes, geometry simplified modelled as bladed disk. Bladed disks with different blade numbers are investig...

This paper presents the dynamic modeling and design of micro motion compliant parallel mechanism with flexible intermediate links and rigid moving platform. Modeling of mechanism is described with closed kinematic loops and the dynamic equations are derived using Lagrange multipliers and Kane’s methods. Euler-Bernoulli beam theory is considered for modeling the intermediate flexible link. Based...

We have performed laser-Doppler vibrometry measurements of the vibration of a double-paddle oscillator. Seven modes with principally out-of-plane motion have been identified. Their resonance frequencies and mode shapes are in excellent agreement with three-dimensional finite element simulations. We have found that the second antisymmetric torsional mode has exceptionally good vibration isolatio...