Device and method for controlling vibration with piecewise-linear nonlinearity

Patent metadata

Field	Value
Publication number	US-12498011-B2
Application number	US-202017631678-A
Country	US
Kind code	B2
Filing date	Jul 31, 2020
Priority date	Jul 31, 2019
Publication date	Dec 16, 2025
Grant date	Dec 16, 2025

Abstract

Various implementations include a device for controlling vibration with piecewise-linear nonlinearity. The device includes a stiffness element, a mass, a stopper, and an actuator. The stiffness element is expandable and compressible along an axis. The mass is coupled to the stiffness element. The mass has a resting mass position along the axis. The actuator is coupled to the stopper. The actuator is configured to move the stopper along the axis to vary a gap size. The gap size is measured as a distance between the resting mass position and a resting stopper position.

First claim

What is claimed is:

1 . A device for controlling vibration with piecewise-linear nonlinearity, the device comprising:
a stiffness element that is expandable and compressible along an axis; a mass coupled to the stiffness element, wherein the mass has a resting mass position along the axis; a stopper; an actuator coupled to the stopper, the actuator being configured to move the stopper along the axis to vary a gap size, wherein the gap size is measured as a distance between the resting mass position and a resting stopper position; and a controller configured to determine an optimized gap size based on an identified dominant frequency and amplitude of an excitation signal and cause the actuator to move the stopper along the axis toward the optimized gap size.

2 . The device of claim 1 , wherein the stiffness element is a spring.

3 . The device of claim 2 , wherein the spring is a linear spring.

4 . The device of claim 1 , wherein the stiffness element is a cantilevered beam.

5 . The device of claim 1 , wherein the stiffness element is a coil of wire.

6 . The device of claim 1 , further comprising a damping element coupled to the mass, the damping element being expandable and compressible along the axis.

7 . The device of claim 6 , wherein the damping element is a linear viscous damper.

8 . The device of claim 1 , wherein the stopper comprises a rigid material.

9 . The device of claim 1 , wherein the stopper comprises a stopper stiffness element.

10 . The device of claim 1 , wherein the stopper stiffness element is a stopper spring.

11 . The device of claim 10 , wherein the stopper spring is a linear spring.

12 . The device of claim 1 , wherein the stopper stiffness element is a cantilevered beam.

13 . The device of claim 1 , wherein the stopper stiffness element is a coil of wire.

14 . The device of claim 1 , wherein the stopper comprises a stopper damping element.

15 . The device of claim 14 , wherein the stopper damping element is a linear viscous damper.

16 . The device of claim 1 , wherein the optimized gap size is determined using bilinear amplitude approximation (BAA).

17 . The device of claim 1 , wherein the optimized gap size is determined using non-dimensional calculations.

18 . The device of claim 1 , wherein the gap size is a negative distance such that the stopper prestresses the stiffness element.

19 . A method of controlling vibration with piecewise-linear nonlinearity, the method comprising:
(a) introducing a device for controlling vibration with piecewise-linear nonlinearity to an excitation signal, the device comprising:
a stiffness element that is expandable and compressible along an axis,
a mass coupled to the stiffness element, wherein the mass has a resting position along the axis,
a stopper, and
an actuator coupled to the stopper, the actuator being configured to move the stopper along the axis to vary a gap size, wherein the gap size is measured as a distance between the resting mass position and a resting stopper position;
(b) measuring or computing the excitation signal; (c) identifying a dominant frequency and amplitude of the excitation signal; (d) determining an optimized gap size based on the identified dominant frequency and amplitude of the excitation signal; and (e) moving the stopper along the axis toward the optimized gap size.

Assignees

• Ohio State Innovation Foundation

Inventors

• D'Souza Kiran
• Tien Meng-Hsuan

Classifications

• G05B19/404

  characterised by control arrangements for compensation, e.g. for backlash, overshoot, tool offset, tool wear, temperature, machine construction errors, load, inertia (G05B19/19, G05B19/41 take precedence) · CPC title

• F16F2230/18

  Control arrangements · CPC title

• F16F2228/06

  Stiffness · CPC title

• F16F2228/04

  Frequency effects · CPC title

• F16F15/022

  using dampers and springs in combination · CPC title