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How does the variable stiffness of springs affect the dynamics of mechanical systems? 


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The variable stiffness of springs significantly impacts the dynamics of mechanical systems. Springs of variable stiffness can be utilized to control vibrations induced by seismic actions in buildings, aiming to maintain structural frequency constancy during earthquakes . Additionally, adaptive magnetic springs have been proposed to enable variable stiffness actuators in long-lifetime applications, showing improvements in energy consumption and peak torque reduction compared to fixed stiffness springs . Furthermore, variable stiffness actuators based on leaf springs have been studied extensively, with a focus on design, model establishment, mechanical analysis, and safety verification, showcasing effective performance in joints . Moreover, passive variable stiffness devices utilizing shear stiffening gel have been designed to dynamically influence system stiffness over external impact loads, showing high sensitivity to frequency changes and providing a quantitative description of dynamic performance .

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Variable stiffness of springs, such as the proposed adaptive magnetic spring, optimizes system dynamics by reducing energy consumption and peak torque up to 47% and 64%, respectively, enhancing industrial machine performance.
The variable stiffness of springs in the passive device based on shear stiffening gel influences the system's stiffness dynamically, showing a 105.74% increase in equivalent stiffness with frequency variation.
The variable stiffness of leaf springs in actuators allows for precise movement and safe human-machine interaction, optimizing mechanical performance both statically and dynamically in complex conditions.
Variable stiffness springs control vibrations induced by seismic actions in buildings by introducing restoring forces. They maintain structural frequency constancy during earthquakes, minimizing deleterious effects on the building.
The variable stiffness of springs impacts the dynamic performance of mechanical systems by influencing friction and gravity effects, necessitating consideration for improved control strategy and positioning performance.

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