To the problem of time dependence regaining for non-stationary influence which acts on elastically deformed element of construction

• Date: 2015
• Main Author: Янчевский, И. В.
• Format: Article
• Language: Russian
• Published: Інститут енергетичних машин і систем ім. А. М. Підгорного Національної академії наук України 2015
• Subjects: element of construction; non-stationary problem; identification of influence; dependence on time; principle of superposition; influence function; УДК 534.1; 539.3
• Online Access: https://journals.uran.ua/jme/article/view/46686
• Journal Title: Journal of Mechanical Engineering

The technique of time dependence identification for non-stationary influence distributed on known area of a constructive element with complex geometry, using values of variable which is more accessible to measurements is presented.In the assumption that reaction of an element linearly depends on the influence the considered boundary inverse problem of mechanics is reduced to a system of linear algebraic equations concerning coefficients which approximate required influence as step-constant function. The system is solved by using regularizing algorithm which provides stability of result to random errors in initial data and errors of calculations. Concrete calculations which confirm an efficiency of the technique are presented for identification of force, kinematic and temperature influences. Elements of the system depend on values of the registered variable and «influence functions» as values of the measured variable in case on unit step influence. Calculation of this function was realized by FEM. The stated technique can be developed for identification of space-time dependence of the external influence applied to a constructive element with complex geometry.