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振弦传感器能将压力、变形等各种物理量转换成弦的振动频率,并具有高的抗干扰性。因此,改善振弦传感器的特性是当前仪器制造的一个重要课题。作者曾提出采用中间较端部细的弦丝(图1)以降低温度误差和增加夹持的机械强度。此外当输入信号在较宽范围变动时,还可提高传感器的绝对灵敏度和耐振性。为了计算这种变截面弦丝的特性,必须找到固有频率与弦的几何形状以及张力间的关系式。这种弦丝的横向自由振动具有下列微分方程形式
Vibrating wire transducer can convert various physical quantities such as pressure, deformation and so on into vibration frequency of the string, and has high anti-interference. Therefore, improving the characteristics of the vibrating wire sensor is an important issue in current instrument manufacturing. The authors have proposed the use of relatively thinner wires in the middle (Figure 1) to reduce temperature errors and increase the mechanical strength of the grip. In addition, when the input signal in a wide range of changes, but also improve the absolute sensitivity of the sensor and vibration resistance. In order to calculate this characteristic of a variable cross-section string, one must find the relationship between the natural frequency and the string geometry and tension. The transverse free vibration of this string has the following form of differential equations