Elastic modulus test method based on virtual pure bending material
A technology of elastic modulus and testing method, which is applied in the field of elastic modulus testing based on virtual pure bending materials, can solve problems such as the inability to achieve modulus measurement, achieve short test time, long time-consuming, and avoid tediousness Effect
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Embodiment 1
[0029] Example 1: simply supported beam member
[0030] combine figure 1 For the slender simply supported beam member shown, the procedure for measuring the elastic modulus of the material is as follows:
[0031] (1) Install 11 sensors at equal intervals at the bottom of the beam member, conduct a free vibration modal test, and obtain the first m-order modal parameters of the free vibration of the member, that is, the circular frequency ω j and mode shape φ j , the approximate flexibility matrix F of the component is calculated from the obtained data using the formula (1), and the calculation formula of the approximate flexibility matrix F of the component is:
[0032] (2) Construct the corresponding virtual force vector l according to the support constraints of the component v ,for figure 1 For the simply supported beam member shown, for the section between nodes 4 and 8, the constructed virtual force vector is l v =[0,0,0,F,0,0,0,F,0,0,0] T , that is, a virtual conce...
Embodiment 2
[0035] Example 2: Cantilever beam member
[0036] combine figure 2 For the slender cantilever beam member shown, the procedure for measuring the elastic modulus of the material is as follows:
[0037] (1) Install 12 sensors at equal intervals at the bottom of the beam member, conduct a free vibration modal test, and obtain the first m-order modal parameters of the free vibration of the member, that is, the circular frequency ω j and mode shape φ j , the approximate flexibility matrix F of the component is calculated from the obtained data using the formula (1), that is, the calculation formula of the approximate flexibility matrix F of the component is:
[0038] (2) Construct the corresponding virtual force vector l according to the support constraints of the component v ,for figure 2 For the straight-bar cantilever beam member of constant section shown, for the section between nodes A and 8, the constructed virtual force vector is lv =[0,0,0,0,0,0,0,F,0,0,0,-F] T , t...
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