Boundary integral equation and sensor applications for one-dimensional wave

碩士 === 國立成功大學 === 數學系應用數學碩博士班 === 106 === Sensors are frequently used tools in daily life. For many types of sensors, we assume that there is a sensor that can be detected by the transmission of elastic waves. Therefore, we use the one-dimensional wave equation and the characteristics of fluctuation...

Full description

Bibliographic Details
Main Authors: Ting-YuChen, 陳廷宇
Other Authors: Shih-Yu Shen
Format: Others
Language:zh-TW
Published: 2018
Online Access:http://ndltd.ncl.edu.tw/handle/7kw473
Description
Summary:碩士 === 國立成功大學 === 數學系應用數學碩博士班 === 106 === Sensors are frequently used tools in daily life. For many types of sensors, we assume that there is a sensor that can be detected by the transmission of elastic waves. Therefore, we use the one-dimensional wave equation and the characteristics of fluctuations to calculate the displacement value that can be sensed at the sensor’s interface. We fix the wave source and frequency of the wavelet function, and then change the frequency of the wavelet function to calculate the relative relationship between the change in the frequency of the wave and the amount of change in the detected displacement. Then we simulate the device close to the object, and the sensor part is affixed to the boundary of the object to observe the vibration behavior occurring at the boundary of the object when the source wave is transmitted to the boundary of the object. After the analysis is performed. By finding the relative of the maximum amplitude of the boundary displacement or reflected wave and the frequency of the source wave, the physical properties of the material of the object can be further understood, such as Young's modulus, wave speed, material size, internal cracks or voids.