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通过静力和自由振动响应试验,基于分层功能分级梁模型,结合有效弹性模量的混合修正规则,验证了三阶Zigzag理论。分别采用粉末冶金和热喷雾技术构成的铝/碳化硅和镍/三氧化二铝两个体系来验证。将陶瓷含量为0%~40%分层梁的理论预测与简支和悬臂边界条件下的静挠度以及悬臂和固支边界条件下的自然频率试验结果进行了对比。采用混合修正规则的预测与两个体系的试验结果十分吻合,而基于性能估计的混合线性规则导致结果的误差较高。讨论了层数对理论模型精度的影响。预测结果的精确性证明了两个体系中分层制造时混合修正规则中应力-应变传递系数值是准确可信的,也证明了Zigzag理论在精确模拟分层梁力学性能方面的能力。
The third order Zigzag theory is validated by the static and free vibration response tests based on the layered functional hierarchical beam model combined with the mixed modification rule of effective elastic modulus. Respectively, using powder metallurgy and thermal spray technology consisting of aluminum / silicon carbide and nickel / aluminum two systems to verify. The theoretical prediction of the layered beam with ceramic content of 0% ~ 40% is compared with the static deflection under simple support and cantilever boundary conditions and the natural frequency test results under cantilever and clamped boundary conditions. The results of the hybrid correction rule are in good agreement with the experimental results of the two systems, while the mixed linear rule based on the performance estimation results in a higher error of the result. The effect of layer number on the accuracy of theoretical model is discussed. The accuracy of the prediction results proves that the stress-strain transfer coefficient in the hybrid correction rules in the two-layer system is accurate and credible, and also proves the capability of Zigzag theory in accurately simulating the mechanical properties of layered beams.