Negative stiffness device and method

1. A negative stiffness device for seismic protection of a structure, comprising:

an anchor frame and a movement frame, the movement frame being laterally translatable relative to the anchor frame, the anchor frame having an extension portion extending toward the movement frame, the movement frame having an extension portion extending toward the anchor frame;

a linkage pivotably connected to the extension portion of the anchor frame;

a spring having a first end attached to the extension portion of the movement frame and a second end attached to the linkage, the spring having a spring force;

wherein in a rest state, the spring is compressed to exert a preload force to the movement frame and does not displace the movement frame;

wherein in an engaged state, the spring is configured to apply a lateral force to the movement frame such that the movement frame is displaced in a same lateral direction of a seismic load; and

wherein the spring force is amplified by the linkage when the movement frame is laterally displaced to an amplification point.

2. The negative stiffness device of claim 1 , wherein in the engaged state, the spring rotates about the first end of the spring such that the second end of the spring is displaced in an opposite lateral direction to the lateral direction of the seismic load.

3. The negative stiffness device of claim 1 , wherein the linkage is configured to amplify the spring force such that at a peak amplification, the lateral force is about 20 to 100 times larger than the spring force.

4. The negatives stiffness device of claim 1 , wherein the linkage includes a pivot member and a lever member, the pivot member having a first end, a pivot point, and a second end, the lever member having a first end and a second end;

wherein the first end of the lever member is pivotably attached to the extension portion of the movement frame and the second end of the lever member pivotably attached to the first end of the pivot member;

wherein the pivot point of the pivot member is pivotably attached to the extension member of the anchor member and the second end of the pivot member is pivotably attached to the spring.

5. The negative stiffness device of claim 4 , wherein the first end of the pivot member is closer to the pivot point than the second end of the pivot member.

6. The negative stiffness device of claim 4 , wherein in the engaged state, the first end of the lever member is displaced by a first lateral distance, and the second end of the spring is displaced by a second lateral distance, the first lateral distance and the second lateral distance being substantially equal.

7. The negative stiffness device of claim 1 , further comprising at least one connecting member pivotably connecting the anchor frame to the movement frame.

8. The negative stiffness device of claim 7 , wherein the at least one connecting member is two connecting members, the two connecting members being hingedly attached to the anchor frame and hingedly attached to the movement frame, the two connecting members being configured to limit a maximum vertical distance between the anchor frame and the movement frame.

9. The negative stiffness device of claim 1 , further comprising a gap spring assembly configured to delay engagement of the spring by a predetermined lateral displacement.

10. The negative stiffness device of claim 9 , wherein the gap spring assembly includes a pair of opposing springs, each opposing spring attached to the extension portion of the movement frame and the anchor frame.

11. The negative stiffness device of claim 9 , wherein the gap spring assembly includes an adjustment mechanism configured to adjust the predetermined lateral displacement.

12. The negative stiffness device of claim 1 , further comprising at least one damping device configured to reduce lateral translation of the movement frame.

13. The negatives stiffness device of claim 1 , wherein the lateral force is applied by the spring to the linkage and to the extension portion of the movement frame.

14. The negative stiffness device of claim 1 , wherein after an initial engaged state, the lateral force increases as the movement frame is displaced in the lateral direction to a peak engaged state;

wherein after the peak engaged state, the lateral force decreases as the movement frame continues to be displaced in the lateral direction.

15. The negative stiffness device of claim 14 , wherein lateral displacements between the initial engaged state and the peak engaged state the negative stiffness device exerts a negative stiffness, and in lateral displacements above the peak engaged state, the negative stiffness device exerts a positive stiffness.

16. The negative stiffness device of claim 1 , wherein the extension portion of the anchor frame and the extension portion of the movement frame are chevron braces.

17. The negative stiffness device of claim 1 , wherein the linkage includes a lever having a lever ratio, the lever configured to amplify the spring force according to the lever ratio; and

wherein the lever ratio is adjustable.

18. The negative stiffness device of claim 1 , wherein the spring force is amplified by any lateral displacement of the movement frame.

19. The negative stiffness device of claim 1 , wherein the amplification point is a range of lateral displacement of the movement frame.

20. The negative stiffness device of claim 1 , wherein the spring force is amplified when the negative stiffness device is in the engaged state.