TY - JOUR TI - Basic principles and theorems of dimensional analysis and the theory of model similarity of physical phenomena AU - Flaga, Andrzej TI - Basic principles and theorems of dimensional analysis and the theory of model similarity of physical phenomena AB - The paper concerns dimensional analysis and the theory of model similarity of physical phenomena. At the beginning of the considerations, basic notions, definitions, relationships and fundamental principles of the issues to be analysed has been presented. Next, Buckingham’s Π-theorem of dimensional analysis and theory of similarity as well as authorial generalized theorems Π of this field of interest have been derived. A separate chapter has been devoted to the problem of the nature of physical phenomena occurring in the mechanics of continuous or discrete material mediums. At the end of the paper, an example of the determination of similarity numbers in the case of a system with one degree of freedom at mechanical and kinematic excitation have been given. VL - 2015 IS - Budownictwo Zeszyt 2-B (12) 2015 PY - 2015 SN - 0011-4561 C1 - 2353-737X SP - 241 EP - 272 DO - 10.4467/2353737XCT.15.135.4172 UR - https://ejournals.eu/en/journal/czasopismo-techniczne/article/basic-principles-and-theorems-of-dimensional-analysis-and-the-theory-of-model-similarity-of-physical-phenomena KW - dimensional analysis KW - model similarity KW - physical phenomena KW - principles and theorems