Resonance and Bifurcation of Fractional Nonlinear Systems with Power Damping Term for Robot Grinding

A fractional nonlinear system with power damping term is introduced to study the forced vibration system in order to solve the resonance and bifurcation problems between grinding wheel and steel bar during robot grinding.The robot,grinding wheel and steel bar are reduced to a spring-damping second-order system model.The implicit function equations of vibration amplitude of the dynamic system with coulomb friction damping,linear damping,square damping and cubic damping are obtained by average method.The stability of the system is analyzed and explained,and the stability condition of the system is proposed.Then,the amplitude-frequency characteristic curves of the system under different fractional differential orders,nonlinear stiffness parameters,fractional differential term coefficients and external excitation amplitude are analyzed.It is shown that the fractional differential term in the dynamic system is the damping characteristic.Then the influence of four kinds of damping on the vibration amplitude of the system under the same parameter is investigated and it is proved that the cubic damping suppresses the vibration of the system to the maximum extent.Finally,based on the idea that the equilibrium point of the system is the constant part of the Fourier series expansion term,the bifurcation behavior caused by the change of damping parameters in linear damping,square damping and cubic damping systems with different values of fractional differential order is investigated.

Rheological behavior of semi-solid Mg_2Si/AM60 magnesium matrix composites at steady state

The microstructure and rheological behavior of semi-solid Mg2Si/AM60 magnesium matrix composite at steady state were investigated.The results show that the primary α-Mg phases are knapped by mechanical stirring and the Chinese script type reinforced Mg2Si phases exist in liquid phase and grain boundary.The analysis of apparent viscosity indicates that the apparent viscosity of semi-solid Mg2Si/AM60 magnesium matrix composite at steady state increases with increasing the volume fraction of Mg2Si and solid fraction of primary α-Mg,but decreases with increasing the shearing rate and shearing time,and the apparent viscosity keeps stable when shearing time reaches 300 s.

Influence of samarium content on microstructure and mechanical properties of recycled die-cast YL112 aluminum alloys

The influence of Sm(Samarium) content on microstructure and mechanical properties of recycled die-cast YL112 aluminum alloys was investigated.The results show that many small Sm-rich particles form in the recycled die-cast YL112 alloys with Sm addition.At the same time,the secondary dendrite arm spacing in the YL112 alloys modified with Sm is smaller than that of the unmodified alloy.The eutectic Si of recycled diecast YL112-xSm alloys transforms from coarse acicular morphology to fine fibres,Mechanical properties of the investigated recycled die-cast YL112 aluminum alloys are enhanced with Sm addition,and a maximal ultimate tensile strength value(276 MPa) and elongation(3.76%) are achieved at a Sm content of 0.6wt.%.Due to the modification of eutectic Si by Sm,numerous tearing ridges and tiny dimples on the fractures of tensile samples are observed.

Effect of Samarium(Sm)Addition on Microstructure and Mechanical Properties of Al-5Cu Alloys

The purpose of this study is to investigate the influence of samarium addition on the microstructures and mechanical properties of Al-5Cu alloys. The microstructures were examined by optical microscopy, X-ray diffraction, scanning electron microscopy, energy diffraction spectroscopy and differential thermal analysis. It was found that Sm was capable significantly of affecting the microstructures of Al-5Cu alloys. When 0.4 wt% Sm was added into the alloy, the aspect ratio and the mean area of Al2Cu phase were 10.9 and 61.0 grn：. They were decreased by 31.5% and 43.3% when compared with unmodified alloy. Meanwhile, a kind of nano size strengthening Al2Sm phase was formed in Al-5Cu alloys. In addition, the differential thermal analysis results showed that Sm addition results in a decrease in the melting temperature of ct-Al and Al2Cu. And a good combination of yield strength （244.5 MPa）, ultimate tensile strength （269.4 MPa） and elongation （6.9%） was obtained when the Sm addition was 0.4 wt%. Compared with unmodified Al-5Cu alloys, they were increased by 37.6%, 35.2% and 21.1%, respectively.

铸态AZ31-xGd镁合金在半固态等温热处理中显微组织和富Gd相的演变

本文深入研究了铸态AZ31-xGd(x=0,1.5 wt%,2.0 wt%,2.5 wt%)镁合金在半固态等温热处理中显微组织和富Gd相的演变。结果表明,添加Gd的AZ31镁合金中的层状(Mg,Al)3Gd相在半固态等温热处理过程中转变为颗粒状Al2Gd相,导致形成更多的球状α-Mg晶粒。当Gd含量为2.0%(质量分数)时,半固态球状晶粒的尺寸达到最小值。晶粒细化的主要机理在于树枝晶的重熔以及少量充当孕育剂的Al2Gd相的辅助作用。同时,固液界面处富集的Al2Gd颗粒可以显著阻碍α-Mg晶粒的粗化长大。与铸态AZ31镁合金(280 MPa)和半固态AZ31镁合金(209 MPa)相比,经过等温热处理的半固态AZ31-2.0Gd镁合金具有适中的压缩变形抗力(230 MPa),实现了变形阻力的降低。

Modification of eutectic silicon and β-Al_5FeSi phases in as-cast ADC12 alloys by using samarium addition

The effects of Sm additions （0, 0.5 wt.%, 1.0 wt.%and 1.5 wt.%） on the eutectic Si and β-Al5FeSi phases of ADC12 as-cast alloys were studied by optical microscopy （OM）, scanning electron microscopy （SEM） and differential thermal analysis （DTA）. The experimental results showed that Sm was an effective modifying agent for the eutectic Si of ADC12 alloy, when 1.0 wt.%-1.5 wt.%Sm was added to the alloy, the coarse acicular eutectic Si was modified into fine particle or short rod structure. Moreover, the appropriate addition of Sm （about 1.0 wt.%） had marked effects on shortening the length of needle-likeβ-Al5FeSi phase. Whereas, Sm was less effective on modifying the needle-likeβ-iron to the Chinese script or sphericalα-iron phase. The modification mecha-nism was also discussed.

Solidification behavior,microstructure and silicon twinning of Al-10Si alloys with ytterbium addition

The solidification behavior, micro structure and silicon twinning of Al-10 Si alloys with Yb addition were investigated by thermal analysis, optical microscopy, X-ray diffraction. scanning electron microscopy, and transmission electron microscopy. The results indicate that the nucleation temperature, minimum temperature, and growth temperature of Al-lOSi alloys decrease with increasing Yb content. The cooling curves of the Yb-modified alloys exhibit marked recalescence. The recalescence of the modified alloy peaks at 2.3 ℃ when the Yb content is 0.7 wt%. The 3 D morphologies of eutectic Si in Yb-modified alloys change from a coarse plate-like structure to a honeycomb structure with many fine fibrous structures.The Al-Si-Yb intermetallic compound is observed in the 1.0 wt% Yb-modified alloy. Meanwhile, XRD analysis and TEM results indicate that the average twin spacing in the Yb-modified alloys is 18-46.2 nm.The average twin spacing of eutectic Si decreases with increasing Yb content. When the Yb content in the modified alloy is increased to 0.7 wt%, the average twin spacing value of eutectic Si reaches to 18 nm,which promotes the formation of twins and refinement of eutectic Si.