Fig. 1 Schematic of a planar rigid-body Inductrack system: ( a ) in front view, ( b ) in side view, and ( c ) the configuration of a Halbach array set More

Fig. 2 The interaction between the i th PM block and the k th track coil More

Fig. 3 Pseudo-steady-state magnetic forces and magnetic torque against various traveling speeds at fixed levitation gap δ = 0.8 d More

Fig. 4 Pseudo-steady-state magnetic forces against different fixed-pitch angles at v = 1 m/s: ( a ) the levitation force and ( b ) the drag force More

Fig. 5 Pseudo-steady-state magnetic torque against different fixed-pitch angles at v = 1 m/s More

Fig. 6 Transient responses of the levitation gap and pitch rotation angle at different constant traveling speeds: ( a ) the middle levitation gap at v = 1, 2, 10, 50 m/s and ( b ) the pitch rotation angle at v = 1, 2, 10, 50 m/s More

Fig. 7 Transient responses of the Inductrack system: ( a ) the levitation force at v = 1, 2, 10, 50 m/s and ( b ) the drag force at v = 1, 2, 10, 50 m/s More

Fig. 8 Time histories of ( a ) the middle levitation gap, ( b ) the pitch rotation angle, ( c ) the magnetic forces and torque, and ( d ) the horizontal speed and propulsion force, during acceleration and deceleration stages More

Fig. 1 ( a ) Model of the satellite vibration isolation system and ( b ) a traditional whole-spacecraft vibration isolation system. ( c ) Schematic of the proposed vibration isolation system with periodic ABHs. It is assembled by 4 rings and 18 supporting blocks. ( d ) Top view of a single ring. I... More

Fig. 2 Band structure comparison between simplified unit cells: ( a ) unit cell with ABHs and ( b ) reference unit cell. Bandgaps (local resonance and Bragg gaps) are highlighted in ( a ) and ( b ), respectively. ( c ) Eigenmode shapes and displacement fields of typical modes S1–S4 of the unit cel... More

Fig. 3 ( a ) and ( b ) Schematics of flat structure and ring-shaped structure. ( c ) Transmission spectra of the flat structures with ABHs and reference structures. ( d ) Transmission spectra of ring-shaped structure with ABHs and reference structure. More

Fig. 4 ( a ) Model of the flat finite structure with ABHs composed of 3 × 4 unit cells. Prototypes of ( b ) the finite structure with ABHs and ( c ) the reference structure. ( d ) Transmission comparison between the finite structure with ABHs and reference structure from simulation. ( e ) Transmis... More

Fig. 5 Time domain simulation of the finite structures with periodic ABHs and the reference structure under a Ricker wavelet pulse excitation. ( a ) Finite element model for time domain simulation, ( b ) the pulse excitation waveform, and ( c ) comparison of velocity responses of two structures. More

Fig. 6 Snapshots of the velocity fields under a Ricker wavelet pulse excitation at successive time instants: ( a ) finite structure with ABHs and ( b ) reference structure More

Fig. 7 Prototypes of two isolator designs: ( a ) the prototype with ABHs and ( b ) the reference prototype. ( c ) Experimental setup for the hammer test. Two accelerometers (Sensors A and B) were placed on both sides of the isolator. ( d ) Experimental setup for the falling test with the height H ... More

Fig. 8 Experimental results of hammer and falling tests: ( a ) transmission comparison between the vibration isolator prototype with ABHs and the reference prototype and ( b ) the comparison of acceleration amplitude of Sensor A (input signal) and Sensor B (output signal) when the ABH-based device... More