Abstract
Introduction. Elevators are mass weight-handling units used by millions of residents of multi-storey buildings. Safety of elevator units and comfort of their use are determined not only by the correct choice of their design and parameters, but first of all, by the organization of the maintenance system. Each elevator is an individual unit that serves a residential building with a specific number of passengers, number of floors and other features. However, regulatory documents recommend standard maintenance plans. There is the need to establish the relationship between the loading modes of the main components and the optimal scheme of technical and repair works. The present work is devoted to the solution of this problem, along with the study of transport comfort. Problem Statement. The operation of the elevator in a residential building with a number of floors N occurs in separate cycles. Standing, lift call, and destination floors are random variables for which probabilistic characteristics must be reliably established. In general, the elevator operation mode includes three stages: calling to the passenger boarding level, moving with passengers to the destination level, and waiting for the next cycle. There are stops inside the movement stages. The specific problem of mathematical description of the random process of implementing the operating characteristics of the main drive of the elevator is reduced to two directions: 1) the development of mathematical models for the formation of the main indicators of the main elevator drive load during the cycle (net machine time τmi and the number of switches n)i; 2) the study of the relationship between passenger traffic, building residential density and cycle duration. Theoretical Part. To meet these objectives the authors have performed the studies of the following main processes characterizing the functioning of the lift, the level of capacity of the transport drive and comfort: the development of mathematical models of formation of indicators of the elevator drive load; the establishment of the relationship of traffic flow, residential density and the duration of the cycle; development of methodology for calculation of the number of flights went by the elevator in different modes; development of methods of calculating the transport comfort indicator; justification of the structure of the algorithm for modeling the operating modes of the elevator. Conclusion. The paper provides the results, which complement the theoretical provisions for determining the capacity and transport comfort of elevators.
Highlights
Elevators are mass weight-handling units used by millions of residents of multi-storey buildings
The specific problem of mathematical description of the random process of implementing the operating characteristics of the main drive of the elevator is reduced to two directions: 1) the development of mathematical models for the formation of the main indicators of the main elevator drive load during the cyclei; 2) the study of the relationship between passenger traffic, building residential density and cycle duration
Khazanovich — study of the basic modes of operation of elevator units, the influencing factors rationale, consultation in the derivation of mathematical models, algorithm development
Summary
Elevators are mass weight-handling units used by millions of residents of multi-storey buildings. The specific problem of mathematical description of the random process of implementing the operating characteristics of the main drive of the elevator is reduced to two directions: 1) the development of mathematical models for the formation of the main indicators of the main elevator drive load during the cycle (net machine time τmi and the number of switches n)i; 2) the study of the relationship between passenger traffic, building residential density and cycle duration. Что показатель транспортной комфортности представляет собой случайную величину — это промежуток времени между двумя последовательными циклами при движении лифта вверх с первого этажа до этажа назначения. Что показатель транспортной комфортности, как и характеристики загруженности лифта, могут быть получены только на основе имитационного моделирования режима работы установки как случайного процесса. Так как случайная величина М распределена априори по закону равномерной плотности, то среднее количество пролетов, которые проходит лифт в первом этапе, равно Кпр1=1/2·(N+2); 2) движение лифта с этажа М на первый этаж; очевидно, что по аналогии с этапом 1 среднее количество пролетов, проходимых лифтом при спуске, определяется по такому же выражению — Кпр2=1/2·(N+2)
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