基于灰色关联分析和响应面法的复合材料缠绕成型多目标工艺参数优化

针对复合材料预浸带缠绕过程中制品的残余应力、孔隙率最小化和层间剪切强度（ILSS）最大化的多目标优化问题,采用Box-Behnken Design （BBD）原理设计四因素三水平的T300/环氧树脂预浸带缠绕实验;基于灰色关联分析（GRA）将多目标优化问题转化为单目标优化问题,利用主成分分析（PCA）法确定残余应力、孔隙率和ILSS对灰色关联度（GRG）的影响权重;通过对实验数据的回归分析,建立GRG与主要缠绕工艺参数（缠绕温度、张力、压辊压力和缠绕速度）的二阶预测模型;分析了各工艺参数对残余应力、孔隙率、ILSS和GRG的影响规律,确定缠绕工艺参数优化方案;利用响应面法（RSM）求解工艺参数优化问题并进行复合材料预浸带缠绕实验。结果表明:该优化方法获得的最优工艺参数组合可以有效改善残余应力、孔隙率和ILSS,提高预浸带缠绕制品的性能。      

A method of steepest ascent for multiresponse surface optimization using a desirability function method

Multiresponse problems are common in product or process development. A conventional approach for optimizing multiple responses is to use a response surface methodology (RSM), and this approach is called multiresponse surface optimization (MRSO). In RSM, the method of steepest ascent is widely used for searching for an optimum region where a response is improved. In MRSO, it is difficult to directly apply the method of steepest ascent because MRSO includes several responses to be considered. This paper suggests a new method of steepest ascent for MRSO, which accounts for tradeoffs between multiple responses. It provides several candidate paths of steepest ascent and allows a decision maker to select the most preferred path. This generation and selection procedure is helpful to better understand the tradeoffs between the multiple responses, and ultimately, it moves the experimental region to a good region where a satisfactory compromise solution exists. A hypothetical example is employed for illustrating the proposed procedure. The results of this case study show that the proposed method searches the region containing an optimum where a satisfactory compromise solution exists.     

基于响应面法橡皮成形侧压块参数优化及验证

橡皮成形是飞机钣金零件制造的一种重要的成形工艺,为提高典型零件橡皮成形的效率,针对橡皮成形过程中产生的起皱问题,基于响应面法对侧压块参数进行优化.首先对新淬火状态下的铝合金板料进行材料试验,分析了其成形性能指标参数,为有限元模拟提供材料本构关系与模型;然后以起皱量化为优化目标,将凸弯边的最大增厚率作为侧压块优化的目标函数,为得到典型零件橡皮成形侧压块精确的几何参数,采用Abaqus有限元软件对带侧压块成形过程进行正交模拟试验,得出侧压块几何参数对起皱指标影响程度的主次关系,并得到最优的参数水平组合.基于响应面建模方法建立了侧压块最优几何参数和起皱指标之间的多项式关系,并用遗传算法进行参数优化,利用优化后的工艺参数进行有限元模拟,阐述了侧压块防皱原理;最后通过实际成形试验,验证了有限元模拟的可行性和优化方法的可靠性.     

Multicriteria evaluation and optimization of the ultrasonic sealing performance based on design of experiments and response surface methodology

Proper closure is an essential packaging quality aspect and can, amongst others, be achieved with ultrasonic sealing. The ultrasonic sealing performance depends on the film type, and the seal settings, such as seal time, applied force and ultrasonic amplitude. Because these parameters are less intuitive than heat seal parameters and optimal settings are undefined for many films, this work presents an efficient approach to evaluate the effect of these settings on the ultrasonic sealing performance. An experimental design defines the experiments to perform. A response surface methodology is then used to model the relation between seal settings and sealing performance. Based on these models, the seal settings are optimized. As there are several criteria to express sealing performance, single‐criteria and multicriteria optimizations are described. The approach was illustrated for a polyethylene terephthalate/linear low‐density polyethylene‐C4 film. The seal settings were optimized to obtain high seal strength, limited ultrasonic horn displacement, and low seal energy. The optimum settings were 0.1 seconds (seal time), 4.32 N/mm (force), and 28.75 μm (amplitude). The predicted optimum strength, horn displacement, and energy were 2.32 N/mm, 40 μm, and 11.66 J, respectively. Besides the optimum, the seal window is also of interest. A broad seal window ensures sufficient seal strength for a wide range of settings. For the polyethylene terephthalate/linear low‐density polyethylene‐C4 film, a strength of ≥90% of the optimum was obtained for 39% of the input combinations within the design space. The presented approach is widely applicable (other films and sealing processes) since it is flexible in the input parameters, design, and responses.     

Preparation and optimization of doxorubicin-loaded albumin nanoparticles using response surface methodology

Background: The objective of this work was to optimize the preparation of doxorubicin-loaded albumin nanoparticles (Dox-A-Nps) through desolvation procedures using response surface methodology (RSM). A central composite design (CCD) for four factors at five levels was used in this study.

Method: Albumin nanoparticles were prepared through a desolvation method and were optimized in the aid of CCD. Albumin concentration, amount of doxorubicin, pH values, and percentage of glutaraldehyde were selected as independent variables, particle size, zeta potential, drug loading, encapsulation efficiency, and nanoparticles yield were chosen as response variables. RSM and multiple response optimizations utilizing a quadratic polynomial equation were used to obtain an optimal formulation.

Results: The optimal formulation for Dox-A-Nps was composed of albumin concentration of 17?mg/ml, amount of doxorubicin of 2?mg/ml, pH value is 9 and percentage of glutaraldehyde of 125% of the theoretic amount, under which the optimized conditions gave rise to the actual average value of mean particle size (151?±?0.43?nm), zeta potential (?18.8?±?0.21 mV), drug loading efficiency (21.4?±?0.70%), drug entrapment efficiency (76.9?±?0.21%) and nanoparticles yield (82.0?±?0.34%). The storage stability experiments proved that Dox-A-Nps stable in 4°C over the period of 4 months. The in vitro experiments showed a burst release at the initial stage and followed by a prolonged release of Dox from albumin nanoparticles up to 60?h.

Conclusions: This study showed that the RSM-CCD method could efficiently be applied for the modeling of nanoparticles, which laid the foundation of the further research of immuno nanoparticles.     

Composition optimization of extruded starch foams using response surface methodology

Response surface methodology (RSM) was used to analyse the effect of polyvinyl alcohol (PVA) and calcium carbonate (CaCO₃) on the objective attributes (shipping bulk density, radial expansion ratio, compressibility and spring index) of a biodegradable cushioning extrudate. A rotatable central composite design (CCD) was used to develop models for the objective responses. The experiments were run at 105°C with a feed rate of 27.8 l/h, screw speed 500 r.p.m. and die diameter 3.92 mm. Responses were most affected by changes in polyvinyl alcohol (PVA) levels and to a lesser extent by calcium carbonate (CaCO₃) levels. Individual contour plots of the different responses were overlaid, and regions meeting the optimum shipping bulk density of 6.00 kg/m³, radial expansion ratio of 3.30, compressibility of 43.71 N, and spring index of 0.91 were identified at the PVA level of 20.23% and the CaCO₃ level of 7.89%, respectively. Copyright © 2004 John Wiley & Sons, Ltd.     

基于响应面法的结构动力学模型修正

为了获得精确的结构动力学模型,提出了响应面和优化相结合的方法。利用参数化模型和优化拉丁方试验设计获取样本点构造多项式响应面模型,最小二乘法确定多项式系数并检验响应面的拟合精度。用响应面计算结果与实验结果的误差构造目标函数,自适应模拟退火算法来优化修正响应面参数,将修正后的参数值带入有限元模型得到修正模型。以欧洲航空科技组织的基准模型GARTEUR飞机模型为算例,对比修正前后模态频率,结果表明修正后的模型在测试频段和预测频段具有良好的复现和预测能力,进而验证了基于响应面法与优化方法相结合的结构动力学有限元模型修正的有效性。     

Strategy for waste management in the production and application of biosurfactant through surface response methodology

This study aims to identify the optimal biosurfactant production process via fermentation by Bacillus subtilis, using waste material as alternative substrates (glycerin, water from potatoes processing, corn steep liquor, and frying oil), thereby highlighting the absence of synthetic substrates. A fractional factorial design 2^4?1 was previously used to determine the effects of the concentrations of the four substrates, selecting three of them to be used in a central composite rotatable design (CCRD) 2³. Responses of the emulsifying index after 24 h (EI₂₄) were first evaluated for fermentation in 250-mL flasks. Thus, the concentration of waste material that is able to provide EI₂₄ up to 100 % from 9 % of glycerin and 1 % of potato peel was determined, with subsequent experimental validation at the optimized point. One-liter-bench-batch fermentation with the optimum medium (based on the CCRD) was also carried out. In order to compare, another 1-L-bench-batch fermentation was performed using residual glycerin through the biosurfactant concentrations, dry weight, oxygen dissolved, and pH profile. Evidence of high potential for biosurfactant production (with EI₂₄ 100 % to toluene, 67 % to hexane, and 62 % to soybean oil), which can be suitable for applications in oil recovery was presented.     

Statistical optimization of the electrospinning process for chitosan/polylactide nanofabrication using response surface methodology

In this study, chitosan/polylactide (CP) blend solutions in trifluoroacetic acid as a co-solvent with different blend ratio were electrospun. Effects of different CP ratio and process parameters on the diameter of electrospun nanofibers were experimentally investigated. The fiber morphology and the distribution of fiber diameter were investigated by scanning electron microscopy. Response surface methodology (RSM) was used to define and evaluate a quantitative relationship between electrospinning parameters, average fiber diameters and its distribution for each chitosan–polylactide ratio. Applied voltage and polymer solution extrusion rate are the process variables which control the fiber diameter at similar spinning distances (15 cm). Fiber diameter was correlated to these variables by using a second-order polynomial function. The fibers were of diameter ranging from 94 to 389 nm. The predicted fiber diameters were in good agreement with the experimental results. Contour plots were obtained to identify the processing variables suitable for producing nanofibers. It was concluded that ratio of polylactide and chitosan in the blend polymer played an important role to the diameter of fibers and standard deviation of fiber diameter. The processing factors were found statistically significant in the production of nanofibers.     

葡萄糖碳化物/海泡石复合材料制备工艺及响应面法优化

以葡萄糖和天然海泡石为原材料,利用水热碳化法制备了新型葡萄糖碳化物/海泡石复合材料,冷冻真空干燥法干燥样品。利用X射线衍射分析(XRD)、红外吸收光谱(IR)、扫描电镜(SEM)、比表面积(BET)对样品进行了表征,选择亚甲基蓝作为吸附质考察其吸附性能,并通过单因素和响应面法优化了材料制备的工艺。实验结果表明,复合材料制备最优工艺条件为:葡萄糖与海泡石质量比为1.49∶1.0、碳化时间为7.33 h(440 min);碳化温度为175℃,对亚甲基蓝的最优吸附量为45.22 mg/g;各因素对复合材料吸附亚甲基蓝性能的影响顺序为:碳化时间>碳化温度>葡萄糖与海泡石质量比。     

Bactericidal effect of TiO2 on the selected Vibrio parahaemolyticus and optimization using response surface methodology

In this work, the bactericidal effect of TiO2 on selected typical food pathogenic bacteria, Vibrio parahaemolyticus was studied. V parahaemolyticus is an important pathogen of humans and aqua-cultured animals. We established the response surface methodology (Box-Behnken Design) to investigate the effect of principal parameters on the cell sterilization such as TiO2 concentration, UV illumination time, temperature, and pH. The sterilization rate reached maximum value at the TiO2 concentration of 1.0 mg/ml. During irradiation under the time of 30 min with UV light with the 1g-TiO2/l, the sterilization rate was greater than 85%, and 99% or more cell lost their viability with 3 hours of irradiation. Sterilization rate of the cell increased with decrease in the pH and temperature.     

Prediction of nanofiber diameter and optimization of electrospinning process via response surface methodology

Response surface methodology (RSM) was used to obtain a more systematic understanding of the electrospinning conditions of polyamide 6 solutions. This method was used to establish a quantitative basis for the relationships between the electrospinning parameters such as applied electric field, the polymer concentrations, the rate of injection and nozzle-collector distance with the diameter of the produced nanofibers, and to predict the optimum conditions for electrospinning to produce nanofibers with controlled size. A response function was empirically determined by central composite design (CCD) using fiber diameter as an observed response and the electrospinning parameters as variables. The relationship between the response and the variables is visualized by a response surface or contour plots. The study of the graphical representations of contour plots, prediction formulas and prediction profiler can predict the operating conditions necessary to generate nanofibers with the desired diameters.     

Fiber laser cutting of CFRP composites and process optimization through response surface methodology

In this experimental study, the effects of major laser process control parameters, such as the laser power, beam scanning speed and assisting gas flow rate, on cut surface integrity defined by the kerf width, taper percentage, and the extent of heat affected zone (HAZ) were investigated. Response surface methodology (RSM) along with central composite design (CCD) of the experiment was used to optimize the process parameters to get better-cut surface quality. The optimum values of process parameters corresponding to cut surface with minimum defects are laser power 260?W, cutting speed 4500?mm per min, and assistance gas flow rate 14.23?l/min and the corresponding kerf width, taper percentage, and the width of HAZ are found to be 163.7?µm, 5.75%, and 573.28?µm. The confirmation experiments have been conducted that provide favorable results with an error of 2.70%, 1.87%, and 0.36%, for kerf width, taper percentage, and width of HAZ, respectively.     

Optimization of enzymatic hydrolysis of wool fibers for nanoparticles production using response surface methodology

Optimization of enzymatic hydrolysis of wool fiber was carried out using a Central Composite Design (CCD) in order to produce wool nanoparticles. The effects of three important determinants, i.e. enzyme loading, substrate concentration and hydrolysis time on enzymatic efficiency were investigated. Polynomial regression model was fitted to the experimental data to generate predicted response such as particle size. The results were subjected to analysis of variance (ANOVA) to determine significant parameters used for optimization. Wool nanoparticles was produced under the attained optimal condition (enzyme loading: 3.3%, substrate concentration: 5 g/l and hydrolysis time: 214 h), followed by ultrasonic treatment. SEM micrographs indicated wool fiber degradation in which the outer cuticle layer was removed and the inner cortical cells were isolated. The results of particle size analysis indicated the positive effect of sonication on reducing particles size further. FTIR spectra denoted no evident changes in the composition of the chemical groups in the macromolecular structure of wool fiber. Besides, the enzymatic hydrolysis and ultrasonic treatment led to an increase in crystallinity, solubility in caustic solution and thermal stability of wool nanoparticles, but caused a decrease in moisture regain comparing to the raw wool fiber.     

基于响应面法的摊铺机压实系统参数优化

摘要：对摊铺机样机的试验研究发现沿熨平板长度方向振幅差值较大。为了改善熨平板振幅的不均匀性,将熨平板作为柔性体,建立了摊铺机压实系统的刚柔混合动力学模型;选取振捣梁质量以及振动器偏心轴的质量和偏心距的乘积为设计变量,以熨平板上节点振幅差为优化目标,通过基于正交设计的响应面方法,借助数值分析,建立优化变量和优化目标间的函数关系,采用遗传算法进行优化。优化后熨平板上节点振幅差减少了83%,各节点振幅均匀性大大改善。     

Statistical optimization of hydrate formation conditions of TBAB and THF mixture as a cold storage material for air-conditioning system based on response surface methodology

Response surface methodology has been employed to optimize the hydrate formation conditions of tetra-n-butylammonium bromide (TBAB) and tetrahydrofuran (THF) mixtures as cold storage materials for air-conditioning system. It has been focused on the maximization of sub-cooling driving force and electrical conductivity variations of hydrate formation considering the operating conditions. The results of ANOVA have revealed that TBAB/THF mass ratio has significant effect on sub-cooling driving force, while stirrer speed and jacket temperature are significant factors for electrical conductivity variations. According to RSM, the optimum TBAB/THF mass ratio, stirrer speed and jacket temperature have been respectively found to be 1.96, 784 rpm and −6.66 °C for sub-cooling driving force and 1.23, 798 rpm and −5.2 °C for electrical conductivity variations of hydrate formation. Overall desirability function of both responses has provided one optimal condition yielding TBAB/THF mass ratio of 1.47, stirrer speed of 800 rpm and jacket temperature of −6.4 °C.     

Robust optimization of concrete strength estimation using response surface methodology and Monte Carlo simulation

A new approach is proposed for the robust optimization of concrete strength estimation using response surface methodology and Monte Carlo simulation. The essence of the suggested procedure lies in the reliable prediction of concrete strength as a simple function of unit mass, water/cement ratio, age and superplasticizer content. The derived model provides sufficiently accurate results for the calibration and verification phases, the latter of which is conducted using data that were not used for model development. The results of additional analysis indicate that residuals in the calibration and verification stages have a normal distribution. Is its also shown that the uncertainty of estimated coefficient values has a statistically insignificant effect on concrete strength, confirming the reliability of the proposed model. Moreover, analysis of the effect of laboratory measurement errors indicates the robustness of concrete compressive strength against the variation in measured parameter values.