Fig. 1

Configuration of the ML-QZS meta-structure: (a) overall schematic diagram, (b) diagram of the unit cell (SL-QZS meta-structure), and (c) decomposition diagram of the SL-QZS meta-structure consisting of flexible multi-segment beams and upper and lower fixture blocks (color online)"

Fig. 2

(a) Section view of the SL-QZS meta-structure. (b) Diagram of a multi-section beam. (c) Expected static property of the SL-QZS meta-structure (color online)"

Fig. 3

Parameterized modeling of the flexible multi-segment beam: (a) geometric parameters and boundary conditions and (b) deformation of a segment (a curved beam) (color online)"

Fig. 4

Static characteristics of the optimized flexible beam: (a) deformation of the flexible beam under compression and (b) restoring force and stiffness of the flexible beam (color online)"

Fig. 5

(a) Experimental setup and prototype. (b) Comparison of restoring force between the experimental tests and theoretical prediction (color online)"

Fig. 6

Physical model and computational model of the ML-QZS vibration isolation meta-structure: (a) physical model of the ML-QZS meta-structure under displacement excitation, where each layer vibrates only along the longitudinal direction; (b) lumped mass-spring model of the ML-QZS meta-structure; (c) stiffness variation against the number of layer (color online)"

Table 1

Stiffness curve offset amount under different loading conditions ( × 10-3 m)"

Fig. 7

Theoretical and simulation comparisons of the three-layer isolator under different payloads: (a) 700 g, (b) 800 g, (c) 900 g, and (d) 1 000 g (color online)"

Fig. 8

Vibration isolation effects of 1-, 3-, 5-, and 7-layer QZS meta-structures under the same damping ratio of 0.03, the excitation amplitude of 1 × 10-4 m, and the payload of 1 000 g: (a) comparison of transmittance curves and the time-domain responses at (b) 5 Hz, (c) 25 Hz, and (d) 40 Hz (color online)"

Fig. 9

Vibration isolation effects of QZS meta-structure under four different payloads with a damping ratio of 0.03 and the excitation amplitude of 1 × 10-4 m: (a) 1 layer, (b) 3 layers, (c) 5 layers, and (d) 7 layers (color online)"

Fig. 10

Influence of damping on the transmittance of the (a) 3-, (b) 5-, and (c) 7-layer QZS vibration isolation meta-structures when the excitation amplitude is 1 × 10-4 m (color online)"

Fig. 11

Influence of the stiffness of each layer of (a) 3-, (b) 5-, and (c) 7-layer meta-structures on the vibration isolation effect with a damping ratio of 0.03 and the excitation amplitude of 1 × 10-4 m. (d) Initial frequency of vibration isolation (color online)"

Fig. 12

Diagram of the dynamic test devices for the multi-layer vibration isolator (color online)"

Fig. 13

Theoretical and experimental transmittance of the 3-layer QZS vibration isolation meta-structure under the payloads of (a) 700 g, 800 g and (b) 900 g, 1 000 g (color online)"

Fig. 14

Experimental transmittance of the QZS meta-structure with different layers under the payloads of (a) 700 g, (b) 800 g, (c) 900 g, and (d) 1 000 g (color online)"

Table 2

Initial frequency of vibration isolation and the transmittance at 6 Hz"