Method and apparatus for cutting a sinusoidal groove in a road surface
A system for controlling a cutting machine for cutting continuous sinusoidal strips in a road surface includes a rotatable cutting head, a cylinder for driving the cutting head out of and into contact with the road surface, and a controller. The controller is programmed to execute an input/output function to control the cylinder to cut a subsurface sinusoidal strip wherein the cutting drum remains in the road surface once the cutting operation begins.
1. A system for controlling a cutting machine for cutting a continuous sinusoidal strip in a road surface comprising:
a rotatable cutting head;
a cylinder connected to the rotatable cutting head for driving the rotatable cutting head into contact with the road surface; and
a controller;
wherein the controller controls the cylinder to adjust the cutting head in continuous engagement with the road surface and to cut a subsurface sinusoidal strip, wherein a high point on the sinusoidal strip having a minimum depth d2 below the road surface and an amplitude d1; wherein a total depth is defined by d1 plus d2 at a the deepest point of the strip.
2. The system of claim 1 , wherein the rotatable cutting drum moves along the direction of travel a distance corresponding to a predetermined wavelength of the continuous sinusoidal strip in response to the controller, and a hydraulic piston is raised or lowered to obtain the profile required for the continuous sinusoidal strip.
3. The system of claim 1 , wherein a predetermined depth of the continuous sinusoidal strip is associated with a radius of curvature “R”, and the period wavelength λ and the predetermined depth of the continuous sinusoidal strip provide a maximum transmission of tire vibration into a vehicle and minimizes an exterior noise disturbance.
4. The system of claim 1 , wherein a wavelength of the sinusoidal profile corresponds with a forcing frequency that excites at least one resonant frequency within a vehicle.
5. The system of claim 1 , wherein the continuous sinusoidal strip profile corresponds to a low forcing frequency generated by a plurality of tires of a vehicle.
6. The system of claim 5 , wherein the forcing frequency is in a range of 35 Hz to 40 Hz.
7. The system of claim 1 , wherein the controller is programmed to direct the cutting head into a surface at variable speed and depth so as to cut a subsurface sinusoidal strip in the road surface.
8. The system of claim 1 , wherein the cutting drum remains engaged in the road surface during the entire cutting operation.
9. The system of claim 1 , wherein a period of the continuous sinusoidal profile is defined by a wavelength λ and a cut length L; wherein a bottom half of a sinus period of the continuous sinusoidal profile is a length L.
10. The system of claim 9 , wherein a top half of the sinus period has a depth of λ minus L.
11. The system of claim 1 , wherein the controller further comprises preprogrammed instructions pertaining to a plurality of cylinder stroke cycles relative to require depth, wavelength and profile, to allow the controller to automatically adjust parameters according to at least one specified depth, wavelength and profile.
12. The system of claim 1 , further comprising a hydraulic cylinder which provides an electronic feedback signal to the controller indicative of the position of piston; and wherein the computer controller is configured to check an actual stroke distance of the cylinder as it travels, and to indicate to a machine operator whether or not the cylinder completed a cycle in accordance with the computer controller.
13. A method for cutting continuous sinusoidal strips in a road surface comprising:
specifying a proportional gain and a depth increment for each speed input values for progressively increasing speed input values;
defining a high point on the sinusoidal strip having a minimum depth d2 below the road surface and an amplitude d1, wherein a total depth is defined by d1 plus d2 at a the deepest point of the strip, and
executing an input/output function for controller;
providing an n PO function based on a plurality of predetermined cutting machine speed input values;
determining an instantaneous proportional gain and depth increment output value according to a linear interpolation applied between the next lower and the next greater speed values;
varying a proportional gain and an error amplification signal over a range of forward speed of the cutting machine;
outputting an instantaneous proportional gain and depth increment from the controller to a control device for cutting a continuous sinusoidal strip in the road surface; and
cutting the continuous strip having a sinusoidal cross-sectional profile that is below the road surface by at least the minimum distance d2.
14. The method of claim 13 , further comprising permitting an operator to shorten or elongate a bottom half of the sinus.
15. The method of claim 14 , further comprising feeding the calculated profile to a PID loop at the requested position to control the valve operation, to control the cutting head position throughout a wavelength of the sinusoidal profile.
16. The method of claim 15 , further comprising adjusting proportionally to forward speed to the PID loop for other cut parameters, for example, hover or depth.
17. The method of claim 13 , further comprising continuing to operate the cutting machine.
18. The method of claim 13 , further comprising selecting a predetermined wavelength of the continuous sinusoidal profile corresponding with a forcing frequency of a vehicle to excite at least one resonant frequency within the vehicle.