A fast point-to-point translation control method for a crane
A control method and point-to-point technology, applied in the field of crane translation, can solve the problems of low furnace temperature uniformity and stability, not paying attention to the timeliness of translation, and difficult to achieve automatic quenching, etc., so as to reduce the total running time of the crane, and the operation process is simple and efficient. Smooth and easy engineering
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Embodiment 1
[0047] A fast point-to-point translation control method of a crane, planning the translation process of the crane into three stages of uniform acceleration, uniform speed, and uniform deceleration, wherein the formula of the translation acceleration of the crane is as follows:
[0048]
[0049] In the formula:
[0050] a 1 : The acceleration of the crane starting;
[0051] t 1 : Uniform acceleration time of the crane;
[0052] t 0 : given crane translation time;
[0053] The crane does not decelerate during the uniform acceleration and constant speed stages of translation, and only performs swing elimination during the final deceleration.
[0054] In the present invention, the crane performs translational motion with uniform acceleration, uniform speed, and uniform deceleration, so that the crane does not decelerate during the uniform acceleration and uniform speed stages of translation, and only performs swing elimination during the final deceleration, so as to achiev...
Embodiment 2
[0056] This embodiment is optimized on the basis of embodiment 1, such as Figure 1-2 Shown, the present invention mainly comprises the following steps:
[0057] Step S1: Establish the kinematics model of the crane rope pendulum system, and obtain the differential equation of the crane rope pendulum:
[0058]
[0059] In the formula:
[0060] d: crane rope pendulum swing;
[0061] L: equivalent rope length of the crane;
[0062] g: gravitational acceleration;
[0063] a: crane translational acceleration (variable over time);
[0064] Step S2: List the boundary conditions for solving the differential equation of the rope pendulum of the crane according to the translation distance of the crane, translation time, zero initial state, etc.:
[0065]
[0066] d t=0 =0 (3)
[0067]
[0068]
[0069] In the formula:
[0070] s: required translational distance of the crane;
[0071] t 0 : given crane translation time;
[0072] t: time variable;
[0073] Step S3:...
Embodiment 3
[0089] A fast point-to-point translation control method for a crane. Assuming a working condition, the crane is required to translate a distance of 4.5m within 4s, and the rope pendulum of the crane should be as small as possible after the translation. In addition, the system is required to have a certain degree of redundancy. According to formula 2 in the four steps of the present invention:
[0090] ∫ 0 4 atdt=4.5
[0091] According to the feasibility of the project, the maximum value of the acceleration of the crane is preliminarily determined, which is obtained from formula 7:
[0092] 4m / s 2 ≥a 1 ≥1.6875m / s 2
[0093] Initially set the range of equivalent rope length of the crane:
[0094] 5m≥L≥1.5m
[0095] The above three formulas are the condition ranges for solving the differential equation (Formula 1) of the crane rope pendulum. Since it is stipulated that the uniform acceleration time is half of the uniform deceleration time, there are only two variables L ...
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