Observing the settlement of buildings and structures often gives rise to the question of their prediction. This primarily requires determining the form of the time series trend equation, which would describe by a single law all sequences of the time series compiled from geodetic data. The procedure for determining the trend equation of the time series is carried out by linear and nonlinear regression analysis. However, these methods have a number of drawbacks. In this connection, the case study of changing the benchmarks values of one of the deformation marks is considered in order to analyze the possibility to apply the search method of nonlinear programming for determining the trend equation on the basis of the geodetic measurements data. A method of constructing a trend equation for a predictive model based on geodetic data is presented, including: 1) determining the trend equation by a search method of nonlinear programming using a VBA-based search program; 2) assessment of the accuracy of determining the coefficients of the trend equations by using the search method of nonlinear programming; 3) assessment of the adequacy of trend models obtained by the search method. Based on the results of the analysis and calculations, an adequate trend model in the form of a logarithmic equation was established. The correctness of the conclusions was proved by the calculations carried out in Microsoft Excel and Statistica, which coincided with the results obtained. The predicted values of the deformation benchmarks were determined.

• The method of determining the trend equation for predicting vertical displacements by the search method of nonlinear programming
  • 1. Introduction
  • 2. Methods
    • 2.1. Problem statement
    • 2.2. General information about the search method of nonlinear programming
  • 3. Results and Discussion
    • 3.1. Determining the trend equation by the search method of nonlinear programming in the VBA-based program
    • 3.2. Validation of the Microsoft Excel calculations
    • 3.3. Validation of the calculations in Statistica
    • 3.4. Assessment of the accuracy of the coefficients of the trend equations by the search method of nonlinear programming
    • 3.5. Assessment of the adequacy of trend models obtained by the search method
    • 3.6. Comparison of predicted deformation benchmarks with their actual values
  • 4. Conclusion

Magazine of Civil Engineering / Санкт-Петербургский политехнический университет Петра Великого. — Санкт-Петербург: СПбПУ, 2020-. — Периодичность: 8 раз в год. — Выходит с 2020 г. — Загл. с титул. экрана. — Свободный доступ из сети Интернет (чтение, печать, копирование). — Электрон. журнал. — Текст: электронный

Magazine of Civil Engineering / Санкт-Петербургский политехнический университет Петра Великого. — Санкт-Петербург: СПбПУ, 2020-. № 6 (114), 2022. — 1 файл (12 Мб). — Свободный доступ из сети Интернет (чтение, печать, копирование). — Электрон. журнал. — <URL:http://elib.spbstu.ru/dl/2/j23-84.pdf>.