Fig. 1

Diagram of compressed buckling Euler beam: from initial state to buckling state (color online)"

Fig. 2

Equivalent model of a primary mass with the AHSLDS vibration isolator (color online)"

Fig. 3

Static analysis of the buckling Euler beam in the horizontal direction: (a)-(c) curves of force and displacement; (d)-(f) curves of stiffness and length, width, or thickness (color online)"

Fig. 4

Static analysis of the buckling beam with different pre-compressed lengths La in the vertical direction: curves of (a) the nonlinear force and (b) the nonlinear stiffness (color online)"

Fig. 5

Static analysis of the buckling beam with different active parameters in the vertical direction: curves of (a) the nonlinear force and (b) the nonlinear stiffness (color online)"

Fig. 6

(a) Transmissibility-frequency responses under different P. Displacement-time responses under (b) P=0.4, (c) P=0.6, and (d) P=0.9 (color online)"

Fig. 7

(a) Transmissibility-frequency responses under different I. Displacement-time responses under (b) I=0.02, (c) I=0.04, and (d) I=0.1 (color online)"

Fig. 8

Histograms of the linear oscillator, the HSLDS vibration isolator, and the AHSLDS vibration isolator with different excitations: (a) transmissibility and (b) resonant frequency (color online)"

Fig. 9

Transmissibility-frequency responses of the linear oscillator, the HSLDS vibration isolator, and the AHSLDS vibration isolator with different external loads: (a) m1=1 kg, (b) m1=5 kg, and (c) m1=10 kg (color online)"

Fig. 10

Transmissibility-frequency responses of the primary mass with the HSLDS vibration isolator and the AHSLDS vibration isolator under different c1 (color online)"

Fig. 11

(a) Three-dimensional design. (b) Experimental setup (color online)"

Fig. 12

Photograph of the spiral spring device (color online)"

Fig. 13

Experimental investigation for the primary structure with the AHSLDS vibration isolator (color online)"

Fig. 14

(a) Transmissibility-frequency responses of the primary mass with the HSLDS and AHSLDS vibration isolators. (b) Theoretical and experimental results with the AHSLDS vibration isolator (color online)"

Table 1

Transmissibilities and resonant frequencies of the primary mass with the HSLDS vibration isolator and the AHSLDS vibration isolator under different P"

Fig. 15

(a) Transmissibility-frequency responses of the primary mass with the HSLDS and AHSLDS vibration isolators. (b) Theoretical and experimental results with the AHSLDS vibration isolator (color online)"

Table 2

Transmissibilities and resonant frequencies of the primary mass with the HSLDS vibration isolator and the AHSLDS vibration isolator under different I"

Fig. 16

Transmissibility-frequency responses of the primary mass with the HSLDS and AHSLDS vibration isolators under Ad=0.2g (color online)"

Table 3

Transmissibilities and resonant frequencies of the primary mass with the HSLDS and AHSLDS vibration isolators under Ad=0.2g"