A Method for Indirect Acquisition of Continuously Distributed Mechanical Parameter Field of Inhomogeneous Materials
A technology for non-uniform materials and mechanical parameters, which is applied in complex mathematical operations, electrical digital data processing, special data processing applications, etc. Effect
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[0045] Embodiment: For a heterogeneous composite material, utilize the technology of the present invention to identify the elastic modulus distribution field E (x) of this material along a certain direction, specifically comprise the following steps:
[0046] 1. Make as figure 2 Composite beams shown, with both ends of the beam clamped by rigid constraints;
[0047] 2. Build a modal test system under hammer excitation, divide the beam into 11 sections evenly, and measure the number of points as follows: image 3 As shown, the modal test is carried out to obtain the test acceleration frequency response function matrix H at each measuring point B (ω), part of the frequency response function curve as Figure 4 shown in .
[0048] 3. Expand the elastic modulus distribution field E(x) of the composite beam along the axial direction by using the Legendre orthogonal polynomial, as shown in the following formula:
[0049]
[0050] Given the initial value of the coefficient of th...
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