CN-122014802-A - Vibration reduction and energy absorption structure with multistable quasi-zero rigidity

CN122014802ACN 122014802 ACN122014802 ACN 122014802ACN-122014802-A

Abstract

The invention discloses a vibration reduction and energy absorption structure with multistable quasi-zero rigidity, and belongs to the technical fields of mechanical metamaterial structural design and vibration reduction and energy absorption. The flexible metamaterial unit comprises three layers of supporting frames which are arranged up and down, wherein the first layer of supporting frame, the second layer of supporting frame and the third layer of supporting frame are connected through flexible curve connecting ribs, and the second layer of supporting frame and the third layer of supporting frame are connected through arch connecting ribs. The vibration reduction energy absorption structure with multistable quasi-zero rigidity realizes the quasi-zero rigidity working interval and the multistable energy absorption function through innovative geometric configuration design.

Inventors

FU TAO
YAN RUYU
YANG CHAO
WU SHENGFEI
HE TIANJUN
Bao Wenlue
SAN LIANG

Assignees

昆明理工大学

Dates

Publication Date: 20260512
Application Date: 20260414

Claims (9)

1. The damping and energy absorbing structure with the multistable quasi-zero stiffness is characterized by comprising an adjustable flexible metamaterial unit, wherein the adjustable flexible metamaterial unit comprises three layers of supporting frames which are arranged up and down, namely a first layer of supporting frame (1-1), a second layer of supporting frame (1-2) and a third layer of supporting frame (1-3), the first layer of supporting frame (1-1) is connected with the second layer of supporting frame (1-2) through flexible curve connecting ribs (2), and the second layer of supporting frame (1-2) is connected with the third layer of supporting frame (1-3) through arch connecting ribs (3).
2. The vibration reduction and energy absorption structure with multistable quasi-zero stiffness is characterized in that the adjustable compliant metamaterial units are arranged in a three-dimensional linear array mode of n1 multiplied by n2 multiplied by n3, wherein n1 is the number of rows of the adjustable compliant metamaterial units in each layer, n2 is the number of columns of the adjustable compliant metamaterial units in each layer, n3 is the number of layers of the adjustable compliant metamaterial units in the height direction, and n1, n2 and n3 are all positive integers and have values larger than or equal to 1.
3. The vibration damping and energy absorbing structure with multistable quasi-zero stiffness according to claim 2, wherein when the adjustable compliant metamaterial unit is multi-layered, the third layer support frame (1-3) of the i-th layer adjustable compliant metamaterial unit is used as the first layer support frame (1-1) of the i+1-th layer adjustable compliant metamaterial unit, wherein i is a positive integer and i is more than or equal to 1, and when a plurality of adjustable compliant metamaterial units exist in one layer, the adjacent adjustable compliant metamaterial units in the same layer share the outer rectangular contact platform (12) corresponding to the support frame.
4. The vibration reduction and energy absorption structure with multistable quasi-zero rigidity according to claim 1 is characterized in that the first layer support frame (1-1), the second layer support frame (1-2) and the third layer support frame (1-3) are identical in structure and comprise rectangular inclined beams (11), outer side rectangular contact platforms (12) and inner side contact platforms (13), one ends of the four rectangular inclined beams (11) are connected with the inner side contact platforms (13) to form a cross arrangement, the outer side rectangular contact platforms (12) are respectively arranged at the other ends of the four rectangular inclined beams (11), in the adjustable flexible metamaterial unit, the arrangement mode of the first layer support frame (1-1) and the third layer support frame (1-3) is identical, the lower ends of the four rectangular inclined Liang Jiyu inner side contact platforms (13) are concave, and the upper ends of the four rectangular inclined Liang Jiyu inner side contact platforms (13) of the second layer support frame (1-2) are concave.
5. The vibration absorbing structure with multistable quasi-zero stiffness according to claim 4, characterized in that the vertical distance between the inner end surfaces of the inner side contact platforms (13) of the first layer support frame (1-1) and the second layer support frame (1-2) is smaller than the vertical distance between the inner end surfaces of the outer side rectangular contact platforms (12) of the first layer support frame (1-1) and the second layer support frame (1-2), and the vertical distance between the inner end surfaces of the inner side contact platforms (13) of the second layer support frame (1-2) and the third layer support frame (1-3) is larger than the vertical distance between the inner end surfaces of the outer side rectangular contact platforms (12) of the second layer support frame (1-2) and the third layer support frame (1-3).
6. The vibration-damping and energy-absorbing structure with multistable quasi-zero stiffness according to claim 1, wherein the outer rectangular contact platforms (12) corresponding to the first layer support frame (1-1) and the second layer support frame (1-2) are connected through four concave flexible curve connecting ribs (2), and the second layer support frame (1-2) is connected with the inner contact platform (13) of the third layer support frame (1-3) through four convex arch connecting ribs (3).
7. The vibration-damping and energy-absorbing structure with multistable quasi-zero stiffness according to claim 1, wherein the cross section of the flexible curve connecting rib (2) is formed by encircling eight truncated sinusoids with four arcs, the first sinusoid L1, the first arc, the fourth sinusoid L4, the fifth sinusoid L5, the second arc and the eighth sinusoid L8 are sequentially connected to form an inner boundary line, and the second sinusoid L2, the third arc, the third sinusoid L3, the sixth sinusoid L6, the fourth arc and the seventh sinusoid L7 are sequentially connected to form an outer boundary line.
8. The vibration absorbing structure with multistable quasi-zero stiffness of claim 7 wherein the second and fourth sinusoids L2 and L4 satisfy the following relationship in the unloaded state: , wherein, Is the coordinate of the curve in the first direction, Is the coordinate of the curve in the second direction.
9. The vibration-damping and energy-absorbing structure with multistable quasi-zero stiffness according to claim 1, wherein the arched connecting rib (3) comprises a first concave arc section, an outer convex arc section and a second concave arc section, and the first concave arc section, the outer convex arc section and the second concave arc section are connected in sequence.

Description

Vibration reduction and energy absorption structure with multistable quasi-zero rigidity Technical Field The invention relates to the technical field of mechanical metamaterial structural design and vibration reduction and energy absorption, in particular to a vibration reduction and energy absorption structure with multistable quasi-zero rigidity. Background The metamaterial is a material which is designed by an artificial structure and does not depend on the composition of the material, so that physical properties which are not possessed by the material in the nature are obtained. In the field of mechanics, quasi-zero stiffness metamaterial is widely focused on due to the fact that the quasi-zero stiffness metamaterial has the characteristics of high static stiffness and low dynamic stiffness. The high static rigidity ensures the bearing capacity of the structure, and the low dynamic rigidity provides a basis for realizing excellent vibration control performance. Conventional quasi-zero stiffness structures typically need to be implemented by a combination of positive stiffness elements and negative stiffness elements, such as complex spring linkages or magnetic force systems. Such designs tend to suffer from the disadvantages of cumbersome construction, heavy weight, large space occupation, high manufacturing costs, and the like. On the other hand, in the field of impact protection, the existing multistable energy absorbing structure can absorb energy through configuration switching, but the problems of high initial peak force and limited energy absorption efficiency are common. In addition, many multistable structures are based on conventional curved beam configurations, either with a single deformation mode, or requiring the use of a combination of hard and soft materials to achieve the desired negative stiffness and multistable effects, adding to the complexity and difficulty of manufacture of the structure. More importantly, the prior art is difficult to effectively control the transmission overload in the impact process while absorbing energy efficiently, and the dual requirements of high energy dissipation and low impact response cannot be met. Therefore, there is a strong need in the art for a compact, lightweight, response-adjustable multistable structure that not only can achieve efficient energy absorption through controlled deformation, but also can provide significant vibration damping effects under dynamic loads to cope with complex impact and vibration environments. Disclosure of Invention The invention provides a vibration reduction and energy absorption structure with multistable quasi-zero rigidity, which realizes the quasi-zero rigidity working interval and the multistable energy absorption function through innovative geometric configuration design. The technical scheme of the invention is as follows: The vibration reduction and energy absorption structure with multistable quasi-zero rigidity comprises an adjustable flexible metamaterial unit, wherein the adjustable flexible metamaterial unit comprises three layers of supporting frames which are arranged up and down, namely a first layer of supporting frame 1-1, a second layer of supporting frame 1-2 and a third layer of supporting frame 1-3, the first layer of supporting frame 1-1 and the second layer of supporting frame 1-2 are connected through flexible curve connecting ribs 2, and the second layer of supporting frame 1-2 and the third layer of supporting frame 1-3 are connected through arch connecting ribs 3. Further, the adjustable flexible metamaterial units are arranged in a three-dimensional linear array mode of n1 multiplied by n2 multiplied by n3, wherein n1 is the number of rows of the adjustable flexible metamaterial units of each layer, n2 is the number of columns of the adjustable flexible metamaterial units of each layer, and n3 is the layering number of the adjustable flexible metamaterial units along the height direction, wherein n1, n2 and n3 are all positive integers and have values larger than or equal to 1. Further, when the adjustable and compliant metamaterial units are multi-layered, the third-layer supporting frame 1-3 of the i-th layer adjustable and compliant metamaterial unit is used as the first-layer supporting frame 1-1 of the i+1-th layer adjustable and compliant metamaterial unit, wherein i is a positive integer and is more than or equal to 1, and when a layer is provided with a plurality of adjustable and compliant metamaterial units, adjacent adjustable and compliant metamaterial units of the same layer share the outer rectangular contact platform 12 corresponding to the supporting frame. Further, the first layer support frame 1-1, the second layer support frame 1-2 and the third layer support frame 1-3 have the same structure, and each support frame comprises a rectangular inclined beam 11, an outer rectangular contact platform 12 and an inner contact platform 13, wherein one ends of the four rectangu