Method and system for measuring volume and density of powder material stack
A powder material and volume measurement technology, which is applied to the volume density measurement method and system field of powder material piles, can solve the problems of unable to meet the on-site needs, limitations, and large instruments of the coal industry, and achieve the goal of ensuring safe and orderly operation Effect
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Embodiment 1
[0033] figure 1 It is the flow chart of the volume measurement method of the powder material pile described in the present embodiment, as figure 1 As shown, the volume measurement method of the powder material pile described in the present embodiment comprises:
[0034] S101. Build a laser measuring device;
[0035] Fix N laser measuring heads side by side on the upper shelf where the powder truck passes. Before measuring, ensure that the laser beams emitted by each of the laser measuring heads are perpendicular to the horizontal plane, and adjust the distance between the two farthest laser measuring heads to be equal to the width of the powder cart.
[0036] Wherein, the number N of laser heads is a positive integer greater than or equal to 2, and the number of laser heads can be adjusted according to the width of the coal transport vehicle, the measurement environment and the measurement accuracy of different users.
[0037] Taking the powder material as coal as an exampl...
example 1
[0109] Given f(x,y)=2sinx-3y3+5 and T=x2+y2≤1 is the region of integration (a disk with a radius of 1, including the boundary).
[0110] Using the linear property, the integral can be decomposed into three parts:
[0111] ∫∫ T (2sinx-3y 3 +5)dxdy=∫∫ T 2sin x dx dy-∫∫ T 3 years 3 dx dy+∫∫ T 5dx dy
[0112] Both sin x and 3y3 are odd functions, and obviously T is symmetric about both the x and y axes; so the only part that contributes is the constant function 5 because the other two contribute 0.
example 2
[0114] Consider the function f(x,y,z)=x exp(y2+z2) and a sphere of radius 2 T=x2+y2+z2≤4 centered at the origin. The sphere is obviously symmetric about all three axes, but just integrating over the x-axis shows that the result is 0, because f is an odd function for this variable.
[0115] 4. Simplify the formula
[0116] The simplified formula converts multiple integrals into sequences of univariate integrals based on simple integration regions. They must be evaluated from right to left, temporarily treating the other variables as constants (similar to the evaluation of partial derivatives).
[0117] 5. Regular area in R2
[0118] This method is applicable to any domain D that satisfies the following conditions:
[0119] D is projected to either the x-axis or the y-axis to form a bounded range, with a and b representing the boundary values.
[0120] Pass through two points a and b and combine with The two endpoints after the intersection of the vertical line and D can b...
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