SELECTION AND JUSTIFICATION OF THE MATHEMATICAL 6 FACTORS EXPERIMENT PLAN IN THE STUDY OF ICE STARTING QUALITIES

D.V. Levchenko
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Abstract

The practical significance of the application of multivariate regression analysis in engineering practice as a necessary step towards improving and optimizing complex systems and processes is presented. The goal and investigation tasks have been actualized to optimize the start-up process of a high-speed subcompact diesel engine. Preparation of the plural factors experiment features of diesel start-up process based on regression analysis and the theory of mathematical design of experiment are presented. Qualitative optimizing parameters of the diesel engine cold start are determined: instantaneous acceleration of the crankshaft dn / dτ at the time of crankshaft cranking by an external energy source close to the time spent on starting the engine with optimal parameters of the starting system and starting energy consumed during the crankshaft cranking by an external energy source. Six main factors influence on certain parameters of the diesel engine start quality have been investigated. The regression equation for assessing the quality of the start-up process is substantiated. The form of regression equation is a full quadratic polynomial for the reproduction of the investigated functions, based on the previous study of some used in the study individual factors influence. The analysis of proposals for rational plan selection of a six-factor experiment to find the coefficients of the second-degree regression polynomial is carried out. The substantiation of the decision regarding the choice of the plan is given. Selection was based on the requirements of the investigation test bench and the conditions for study organizing. Main impact had the predecessors experience of similar investigation and the statistical criteria for different plans of experiment comparison used in mathematical theory of design of experiments. The points of the plan have been defined on a multidimensional cube due to the need to vary on three levels with a uniform step of all 6 factors that were identified as influential. Under the conditions of the available laboratory test bench, the current values of the factors of equivalent cold start temperature, crankshaft-cranking speed and maximum temperature of the glow plugs have a variance of the installation at different points of the plan, and the nature of the factors on energy consumption is unknown in advance. As a rational experimental design for organizing the current study, the Box-Wilson orthogonal central compositional plan was chosen, built by adding plan points on the axes of the factorial space to the full-factorial plan of the lowest order, while maintaining the requirement of orthogonality and symmetry of the plan.
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起冰品质研究中数学6因素实验方案的选择与论证
介绍了多元回归分析作为改进和优化复杂系统和过程的必要步骤,在工程实践中应用的现实意义。实现了高速超小型柴油机启动过程优化的目标和研究任务。介绍了基于回归分析的柴油机启动过程多因素实验特征的制备及实验数学设计理论。确定了柴油机冷启动的定性优化参数:曲轴在外部能量源启动时的瞬时加速度dn / dτ接近启动系统参数最优的发动机启动时间和外部能量源启动过程中所消耗的启动能量。研究了影响柴油机启动质量的6个主要因素。建立了评价启动过程质量的回归方程。回归方程的形式是一个完整的二次多项式,用于再现所研究的函数,在前人研究的基础上,研究中使用了一些个体因素的影响。对六因素试验的合理方案选择建议进行了分析,找出了二次回归多项式的系数。给出了关于选择计划的决定的依据。根据调查试验台的要求和研究组织的条件进行选择。主要影响是前人的类似调查经验和实验设计数学理论中不同实验方案比较的统计准则的使用。由于需要在确定为有影响的所有6个因素的统一步骤中在三个级别上变化,因此在多维立方体上定义了计划的点。在现有实验室试验台架条件下,辉光塞的等效冷启动温度、曲轴-启动转速和最高温度等因素的电流值在方案的不同安装位置存在差异,且这些因素对能耗的影响性质事先未知。作为组织本研究的合理实验设计,选择Box-Wilson正交中心构图方案,在保持方案正交性和对称性要求的前提下,将析乘空间轴线上的平面点添加到最低阶的全析乘方案上。
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