The bending stiffness () is the resistance of a member against bending deformation. It is a function of the Young's modulus , the area moment of inertia of the beam cross-section about the axis of interest, length of the beam and beam boundary condition. Bending stiffness of a beam can analytically be derived from the equation of beam deflection when it is applied by a force.
where is the applied force and is the deflection. According to elementary beam theory, the relationship between the applied bending moment and the resulting curvature of the beam is:
where is the deflection of the beam and is the distance along the beam. Double integration of the above equation leads to computing the deflection of the beam, and in turn, the bending stiffness of the beam. Bending stiffness in beams is also known as Flexural rigidity.
See also[edit]
The impulse excitation technique (IET) is a non-destructive material characterization technique to determine the elastic properties and internal friction of a material of interest.[1] It measures the resonant frequencies in order to calculate the Young's modulus, shear modulus, Poisson's ratio and internal friction of predefined shapes like rectangular bars, cylindrical rods and disc shaped samples. The measurements can be performed at room temperature or at elevated temperatures (up to 1700 °C) under different atmospheres.[2]
The measurement principle is based on tapping the sample with a small projectile and recording the induced vibration signal with a piezoelectric sensor, microphone, laser vibrometer or accelerometer. To optimize the results a microphone or a laser vibrometer can be used as there is no contact between the test-piece and the sensor. Laser vibrometers are preferred to measure signals in vacuum. Afterwards, the acquired vibration signal in the time domain is converted to the frequency domain by a fast Fourier transformation. Dedicated software will determine the resonant frequency with high accuracy to calculate the elastic properties based on the classical beam theory[3].
https://en.wikipedia.org/wiki/Impulse_excitation_technique
https://en.wikipedia.org/wiki/Zero_state_response
Subcategories
This category has the following 27 subcategories, out of 27 total.
Pages in category "Physical quantities"
The following 200 pages are in this category, out of approximately 273 total. This list may not reflect recent changes (learn more).
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