氧化石墨烯的尺寸对碳纤维/环氧树脂湿热界面性能的影响

通过Hummers法获得两种尺寸的氧化石墨烯(GO),利用模压成型制备GO改性碳纤维增强环氧树脂复合材料(GO/CF/EP),并对复合材料进行湿热处理,利用层间剪切性能、动态热机械性能和微观形貌分析室温干态和湿热处理后复合材料的改性效果。结果表明:GO对复合材料的层间剪切强度和玻璃化转变温度均具有良好的改善作用;室温干态时两种尺寸GO对复合材料层间剪切强度的改善效果基本相同;随GO含量增加,小尺寸GO使复合材料的湿热层间剪切强度下降更快,GO含量为0.1%(质量分数,下同)时对复合材料的层间剪切性能改善作用较好,而GO含量为0.2%时对复合材料的玻璃化转变温度改善更好。随GO含量增加,GO-EP复合树脂基体的放热峰向低温移动,小尺寸GO使复合树脂的凝胶时间变短。微观形貌分析表明,GO的存在有利于增加复合材料破坏时的裂纹扩散路径,从而更有助于材料耗散裂纹尖端能量。

A Biproportional Construction Algorithm for Correctly Calculating Fourier Series of Aperiodic Non-Sinusoidal Signal

The Fourier series (FS) applies to a periodic non-sinusoidal function satisfying the Dirichlet conditions, whereas the being-processed function in practical applications is usually an aperiodic non-sinusoidal signal. When is aperiodic, its calculated FS is not correct, which is still a challenging problem. To overcome the problem, we derive a direct calculation algorithm, a constant iteration algorithm, and an optimal iteration algorithm. The direct calculation algorithm correctly calculates its Fourier coefficients (FCs) when is periodic and satisfies the Dirichlet conditions. Both the constant iteration algorithm and the optimal iteration algorithm provide an idea of determining the states of . From the idea, we obtain an algorithm for determining the states of based on the optimal iteration algorithm. In the algorithm, the variable iteration step is introduced; thus, we present an algorithm for determining the states of based on the variable iteration step. The presented algorithm accurately determines the states of . On the basis of these algorithms, we build a biproportional construction theory. The theory consists of a first and a second proportional construction theory. The former correctly calculates the FCs of at the present sampling time

碳纤维表面生长聚合物微球同时提高界面强度和韧性

碳纤维(CF)增强聚合物基复合材料(CFRPC)的界面性能是影响其性能和使用的关键因素,提高界面黏附强度常带来界面韧性损失。文中提出在CF表面进行点击分散聚合,原位生长功能聚合物粒子,同时提高CF-环氧复合材料界面强度和韧性。首先利用多巴胺(DA)对CF进行预处理,然后借助CF表面PDA,室温下进行巯基(-SH)-环氧(-Epoxy)在异丙醇或巯基(-SH)-异氰酸酯(-NCO)在乙醇中的原位点击分散聚合。扫描电镜(SEM)观察到,随单体用量增加,CF表面生长聚合物粒子增大、增多;红外光谱分析表明,使用等摩尔、高浓度单体,或使用过量-SH或-NCO单体,所得CF表面粒子含有残留-SH或-NCO基团,并可进一步功能化;动态接触角测试表明,单体用量增加,CF表面长出的聚合物粒子增多,表面接触角下降,表面能上升;微滴脱黏测试和SEM断面观察证实,长有粒子的CF与环氧基材的界面剪切强度和断裂韧性同时提高。

Stability analysis for discrete linear systems with state saturation by a saturation-dependent Lyapunov functional

This paper concerns the stability analysis problem of discrete linear systems with state saturation using a saturation-dependent Lyapunov functional. We introduce a free matrix characterized by the sum of the absolute value of each elements for each row less than 1, which makes the state with saturation constraint reside in a convex polyhedron. A saturation-dependent Lyapunov functional is then designed to obtain a sufficient condition for such systems to be globally asymptotically stable. Based on this stability criterion, the state feedback control law synthesis problem is also studied. The obtained results are formulated in terms of bilinear matrix inequalities that can be solved by the presented iterative linear matrix ineoualitv algorithm. Two numerical examoles are used to demonstrate the effectiveness of the nronosed method_