In this paper, a calculation model based on the subsection displacement theory and the large deflection analysis is developed to describe the dynamic response of isotropic laminated circular plates impacted by a soft body. The model takes into account the interlaminar shear effect induced by the middle weak layer. It is proved by numerical examples that the difference between the model developed in this paper and that based on the classical laminated theory mainly depends on three factors, the elastic modulus of the glue, the radius of the circular plate and the impact force.
An analytical model is developed to study the crushing behavior and energy absorption capability of a single elliptical tube impacted by two parallel rigid plates, with and without consideration of the strain hardening effect. The four-hinge collapse mechanism is used, and the governing equation is derived from Lagrange equations of the second kind. The numerical simulation of the dynamic response of the elliptical tube under impact using the finite element explicit code LS-DYNA is performed. The reaction force-displacement curve and displacement-time curve of the plate obtained from the two methods are in good agreement.
To safely land after different drops, cats can perfectly use their limbs as dampers to dissipate impact forces. Yet, we know little about the contribution of the forelimbs and hindlimbs of cats to attenuating the impact forces during landing. In order to investigate this, we analyzed the landing impulses and energy absorption based on the ground reaction forces and high-speed video recordings of cats performing self-initiated jump downs at different heights. Our results show that the distribution of impact forces between forelimbs and hindlimbs exhibits a landing height-dependent manner. Furthermore, combining the experimental measurements and the inverted pendulum-spring model, we find that variation in landing angle is correlated with the distribution manner. This posturedependent actuation allows the animal to tune the distribution of energy absorption between forelimbs and hindlimbs. These findings highlight how cats perfectly jump down using their limbs, providing fundamental insights into the importance of control mechanisms that attenuate landing impulses safely and efficiently.
Zhiqiang ZhangHui YuJialing YangLili WangLiming Yang
