Mathematical Planning Of Experiment Research Articles

Elaboration of the technique of atomic emission detection with inductively coupled plasma of platinum metals in chamotte waste with autoclave sample preparation and design of the experiments

A comprehensive method for atomic emission analysis was developed with the use of mathematical planning of experiment developed with autoclave sample preparation to control the content of platinum metals in chamotte waste of glass manufacture.

Подбор конструкций горелок для цилиндрических трубчатых печей

With the method of mathematical planning of experiments was carried out the selection of rational design of gas burners for vertical cylindrical tube furnaces.

Principles of development of grinding media with increased wear resistance. Part 2. Optimization of steel composition to suit conditions of operation of grinding media

The compositions of wear-resistant steels used as the material for grinding media are validated in order to obtain the optimal relation between the wear resistance and cost. Mathematical experiment planning reveals that low-alloyed hypereutectiod steels with the austenite-martensite structure without secondary carbides and eutectoid steels with the tempered martensite structure are the most promising for impact-abrasivecorrosive wear conditions.

On the problem of modeling adhesive strength of protective coating depending on the content and conditions of formation of composition

The adhesive strength of epoxy composite coatings modified by magnetic field and ultraviolet irradiation, and filled with dispersed particles of different physical nature has been studied. The content and conditions of formation of protective epoxy composite coatings have been optimized using the method of mathematical experiment planning.

One-time firing ceramic mix using manufacturing waste products as fluxes

Compositions of one-time firing ceramic tile have been developed and tested, using as fluxes phosphogypsum and wastes (LiCl) from the production of acetate fiber. The methods of mathematical planning of experiments were used to obtain a system of mathematical equations that describes the dependence of the ceramic tile properties on the content of different components. The computational results are checked.

Optimizing the composition and technology of capsules containing dry fucus extract

Results of optimization of the composition and technology of solid gelatin capsules with a dry fucus extract (DFE) containing fucoidan (polysaccharide of fucus algae) are presented. The Box-Wilson method of mathematical planning of experiments was used to determine the optimum conditions of DFE granulation in a mixture with lactose. DFE granules were obtained under the established optimum conditions and their processing properties were determined. The final medicinal preparation in the form of DFE 0.2 g pellets in solid gelatin capsules showed high indices of quality and a high degree of bioavailability in in vivo experiments.

Synthesis of glasses in the system Na2O – B2O3 – SiO2 for coatings protecting bronze during smelting

A system of requirements for unfired process glass coatings for protecting bronze during smelting is formulated and the properties of the coatings are determined. DTA analysis shows the most critical service temperature interval for the new coatings. The initial system Na 2 - B 2 O 3 - SiO 2 and the initial materials for synthesizing glass coatings on it are chosen. The method of mathematical planning of experiments is used to optimize the composition of the glass flux in the pseudoternary system silicate-block - cullet - borax.

Optimization of material hardness of solid-rolled wheel of freight cars

Results on the wear of solid-rolled wheels of increased hardness designed for freight cars are discussed. The friction model of the wheel-rail pair is developed considering the variations in wheel-material hardness provided for in the standards, as well as the loads acting during wheel operation. Methods of mathematical experiment planning are used to solve the problem of optimizing the material hardness. Statistical data on the performance of solid-rolled wheels are expounded and recommendations on the choice of wheel material hardness are given.

Obtaining Handeliae trichophyllae liquid extract

The technology of liquid extraction of Handeliae trichophyllae flowers has been developed with the use of methods of mathematical planning of experiment. The proposed scheme represents a four-factorial asymmetrical fractional plan based on a Latin parallelepiped of the first order. Factors influencing the degree of extraction of the active substances from the raw medicinal plant material included solvent (ethyl alcohol) concentration, degree of raw material comminution (fractional composition), extraction time, and temperature. The parameters of optimization were the extract density, the content of ethereal oils, and the results of antiinflammatory activity testing in vivo.

The Composition and Technology of Mumifer Tablets Optimized Using Methods of Mathematical Experiment Planning

The method of mathematical experiment planning was used to find the optimum combination of parent and auxiliary substances and to optimize the technology of mumifer tablets so as to minimize the consumption of materials and time. In addition, this method allowed the number of experimental animals required for biopharmaceutical investigations to be also significantly reduced.

Modified Organosilica Adsorbents with Bactericidal Properties

The method of mathematical planning of experiments has been used to determine the optimal conditions for the formation of a two-component organosilica with various compositions modified by metal ions (CuII, ZnII) sorbed from their water–ammonia solutions. Through this method, modified forms of silico-polymethylsiloxanes (SG-PMS) containing 1–30 mg/g CuII ion [SG-PMS(Cu)] and 3–40 mg/g ZnII ion [SG-PMS(Zn)] were synthesized and their adsorption/structural characteristics established. The sorptive capacity of the organosilica sorbents and their modified forms towards pathogenic microflora ( E. coli, S. aureus, P. aeruginosa), which depend on the concentration of the modified component, the pH of the medium and the sorptional composition, has been evaluated. It was found that the sorption levels of microorganisms increased in the following sorbent-modified range: 30:70 wt% SG-PMS(Al) < 50:50 wt% SG-PMS(Zn) < 50:50 wt% SG-PMS(Cu) and attained values in the range of 81–98% for metal-containing forms depending on the pH of the medium and the nature of the microorganisms. Copper-containing forms of organosilica exhibited an inhibiting effect towards pathogenic microorganisms even at CuII ion-containing contents of only 1 mg/g.

Modeling glass-ceramic enamel properties

The results of an investigation of the chemical and thermal characteristics of glass-ceramic enamels, derived from the Li2O-Na2O-Al2O3-TiO2-SiO2 system obtained by employing the methods of mathematical experiment planning, are presented in this paper. Adequate mathematical models, showing the dependence of the chemical and thermal stability on the chemical composition of enamel systems, after different thermal treatment procedures, were obtained. Based on the testing carried out, it was concluded that in the obtained glass-ceramic enamels the chemical resistance is decreased, but at the same time, the thermal stability is increased, relative to reference coatings.

Optimizing the composition of thermal-shock resistant ceramics based on magnesium chromite

Using the method of mathematical planning of experiments the optimum composition of thermal-shock resistant ceramics based on magnesium chromite was established: the total ratio of the molar parts of magnesia and chromium oxide in the batch equals 0.6; the ratio of the magnesium oxide-chromium oxide in the dispersed constituent of the batch equals 2.0; the size of the grains of the coarse fraction (chromium oxide) is located within the range 0.25–0.6 mm.

Application of experiment planning methods to investigation of the metal-sulfuric acid solution system

An attempt has been made to apply the method of mathematical experiment planning in a study of the metal-solution system, with subsequent computer treatment of numerical information.

Crack resistance as a criterion of the effectiveness of roll steel

An investigation is made of the possibility of increasing the reliability of large back-up rolls by reducing the carbon content in the roll steels and also by additional alloying with silicon and vanadium in addition to chromium-molybdenum. Mathematical experiment planning was used to investigate the rules of influence of alloy element content and of heat treat parameters. The results of the experiments are shown. The advantages of 60KhSMF steel over 9KhF steel are confirmed by tests which showed that the life of rolls with sleeves of 60KhSMF steel is significantly higher than those of 9KhF steel. Depth of chipping is significantly less also.

Structure and thermal expansion of NbC base complex carbides

The relationships of the crystalline lattice parameter at room temperature and of the temperature coefficient of linear expansion in the 373–1273°K range of NbC base complex carbides in relation to alloying were determined by the method of mathematical experiment planning. The change in the values of a of complex carbides in the 773–973°K range, in contrast to that of NbC0.93, has an anomaly (minimum) related to the occurrence of reversible phase transformations. The increase in the temperature coefficient of linear expansion, the decrease in hardness, and the character of the change in the crystalline lattice parameter of NbC base carbides alloyed with W, Mo, V, and Hf are an indication of weakening in the complex carbides of the total chemical bond in alloying.

Devising high-strength weldable steel by the methods of mathematical planning of experiments

1. The use of the method of Latin squares, and specifying or excluding those alloying elements whose optimum content is known and is largely independent of the concentrations of the principal alloying elements makes it possible to reduce the number of investigated experimental melts in working out the composition of steel with the required properties. 2. We obtained multiple regression equations type "chemical composition-properties" for weldable low carbon alloy steel, heat-treated to the same strength (σ0 · 2 ⩾ 750 MPa). 3. The simplex method of linear programming as used to optimize the composition of steel with σ0 · 2 ⩾ 750 MPa according to the criteria of ductility, impact toughness, and crack resistance, with constraints on the chemical composition for obtaining satisfactory weldability. The devised weldable steel in sections up to 250 mm after hardening in water and temnering has good ductility, impact toughness, and crack resistance.

On the gelation of Vicia faba protein in dependence on the acetylation degree

AbstractUsing the method of mathematical planning of experiments and taking the shear modulus of the gels as an equivalent of the gelation degree, the conditions of the thermal denaturation at the maximum shear modulus were found to be TD ≈︁ 100 °C and tD ≈︁ 60 min for the non‐acetylated Vicia faba protein and TD ≈︁ 100 °C and tD ≈︁ 40 min for the acetylated Vicia faba protein. On these conditions the dependence of the shear modulus (G) on the protein concentration (C) is expressed by exponential functions G = α C4.3 and G = α C5.0, respectively.By an increasing acetylation of the Vicia faba protein the shear modulus, the thickness of the many‐line chains, and the net density of gels are increased; the same is valid for the shear modulus and the masking of disulfide groups by an increasing concentration of non‐acetylated and acetylated Vicia faba proteins.

Synthesis of medical glass using mathematical experiment planning

Synthesis of medical glass using mathematical experiment planning

A study on gelation of soy bean globulins solutions. Part I. Thermal denaturation conditions corresponding to the maximum shear modulus value of the gel.

The effect of heating temperature and duration (t = 80--120 degrees C and tau = 10--50 min) on gelation of the soy bean globulins solutions has been studied using the method of mathematical planning of experiment and taking the shear modulus (G) of the gel as an equivalent of the degree of conversion. The G(t, tau) depence has been found to have an only maximum at t = 88 +/- 2 degrees C and tau = 42 +/- 2 min, irrespective of gel concentration values C = 10--18.5 wt. %. Under these conditions, the concentration dependence of shear modulus is described by empirical relation G = alpha . C4.67. These results indicate that there exists a certain physical similarity of gelation mechanism at different values of C.