Detection of the Underground Water Leak by Using Vibration Intensity Method.

This paper presents modal descriptions of structural intensity for flexural vibration on flat plate. The modal forms of the structural intensity are expressed by superposition of the product of weight coefficient and cross-modal function which can be estimated by two natural modes. The characteristics of the weight coefficients and the cross-modal functions are discussed by using numerical analysis. It is shown that the cross-modal functions can be classified into two types of distributions-power transmission and non power transmission types-. It is also shown that the non power transmission type cross-modal function can take no propagating power. At last we demonstrate that the derived modal form of the intensity can be useful to explain the difference of the structural intensity under two different excitation frequencies. The demonstration would suggest that the modal expansion can be effective for designing the structural intensity distribution.

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Determination Method of an Excitation Force Point for Reducing Structure-Borne Transmitted Power on Flexible Plates Based on Structural Intensity

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2012

Trans.JSME(C)

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The structure-borne sound in bending waves has been studied by many researchers. However, the majority of those studies have aimed at achievement of only measurement or calculation of structure-borne power. This paper presents a new determination method of an excitation force point for noise reduction. The method is based on modal expansions of structural intensity for controlling vibration energy flow. The modal expansions are expressed as the superposition of modal terms determined by the product of the weight coefficients and the product of two spatial derivatives of natural mode shapes, which is referred to as the "cross-modal functions". The weight coefficients depend on the excitation condition, and the cross-modal functions only depend on mode shapes. Therefore, if excitation point would be changed, we can control weight coefficients. Increasing a weight coefficient means to excite strongly the cross-modal function corresponded to the coefficient. As a result, the distribution of structural intensity can be modified. In this paper, we propose the method for determining excitation location which excites a non power transmission typed cross-modal function, which have no power transmission and relate to low noise. The numerical application results present a validity of the method.

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Detection of the Underground Water Leak by Using Vibration Intensity Method.

Cited by 3 publications

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Modal Expansion of Structural Intensity for Flexural Vibration on Beams

Modal Expansion of Structural Intensity for Flexural Vibration on Beams

Modal Expansion of Structural Intensity for Flexural Vibration on Plates

Determination Method of an Excitation Force Point for Reducing Structure-Borne Transmitted Power on Flexible Plates Based on Structural Intensity

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