Belyakov A. A.

Belyakov A. A., Salmanova O. B.

Salmanova O. B.

English

Samara University

Секция 1. Конструкция и проектирование ракетно-космических систем 6 UDC 629.7 THE METHOD OF CARGO ARRANGEMENT IN TRANSPORT SPACECRAFT COMPARTMENTS UNDER DEVELOPMENT  OF SPACECRAFT SYSTEM LOGISTICS  © Belyakov A.A., Salmanova O.B. Samara National Research University, Samara, Russian Federation e-mail: jake.dunn@inbox.ru  Cargo arrangement is a set of geometrical bodies (objects) whose attitude is fixed relative the common coordinate system and meets specified requirements. In this work, cargo arrangement process definition means presence of a shell housing onboard equipment, different containers with food, propellant, etc. The given objects are to be arranged inside the cargo compartment with minimum labor expenditures. Task solution is to meet functional purposes of the transport spacecraft in case of cargo loading and unloading.  The narrow task of cargo arrangement in cargo compartments is to house specified set of equipment, units, and containers inside the given shell. Besides, functional purpose of a compartment included in a transport spacecraft, is stipulated by some specific requirements. The narrow task is easier to formalize, algorithmization methods and digital design can be applied for the task solution. Thus, cargo arrangement task in transport spacecraft compartments is to determine cargo coordinates in the compartment, and coordinates satisfying given requirements.  As practice of spacecraft operation shows, one of the most important requirement of cargo delivery is the requirement imposed by the center-of-gravity position of cargo sets. This requirement effects on overall center-of-gravity position of the STS. In some cases, in spite of mass shortage, it is necessary to install balance weight resulting in payload loss [1].  Consequently, STS center-of-gravity problem during cargo delivery is the task of geometric object arrangement optimization. STS compartments and cargoes shapes are complex surfaces, and they are described at least by the second-order equations. Optimum search area in such tasks is described by some nonconvex high order hypersurface, it is often multiply connected. It complicates optimum search and allows to find only rational solution [2; 3].  A set of demands is made to the transport spacecraft compartments; their fulfilment depends upon cargo arrangement. In particular, providing stability and controllability of a transport spacecraft imposes some restrictions on the center-of-gravity position and the magnitude of moments of inertia of compartments. Required compartment center-of-gravity coordinates and their permissible tolerance in axes, and requirements to compartment’s moments of inertia have been determined.  Taking into account cargo inertia parameter, when STS delivers cargoes, the objective function can be represented as a total work (1) under restrictions (2-7). In the general case, equation (1) characterizes cargo-handling work during loading, and in case of reset taking into account expenditures resulted from system’s movement (and consequentially, cargoes), and also taking into account cargo replacement in case of contingencies during transportation. Restrictions on center-of-gravity position are established as inequality (2). Restrictions on moments of inertia for a transport spacecraft are established as equality of moments of inertia (3) relative to axes OX and OY (in Cartesian coordinate system ОХУZ). Transport spacecraft flight features impose constraints on products of inertia looking like inequality (4). Секция 1. Конструкция и проектирование ракетно-космических систем 7                .0;0,;;;00;121111221 1220RuRuumRCmxzmzymyxmJJzymYYFtJuRmuRmppuZijiniiiikjniiiiniiiiniiiiniyiziiiiЦCЦniniinJjjjjiiij i   (1)  (2)  (3)  (4)   (5)  (6) (7)  Requirements for minimum mass of non-functional purpose, for example, for mounting hardware (cantilevers, beams, etc.) can be expressed by formula (5). Relation (6) allows to express restrictions on distance between cargoes in mathematical terms. Assembly restrictions on cargo arrangement require access to cargo fixing points. In some cases, cargo state is to be controlled, and sometimes even cargo replacement is necessary. To describe these restrictions, formalist approach of common arrangement schemes can be used; for example, to tie cargo arrangement to hatches and impose the appropriate requirements for cargo arrangement in the form of inequality (7).  References  1. Voronov V.I. Formation of Modern Consensus Term of Logistics / Materials of International scientific forum 27–28 November 2014. Management of Russian economical strategy. M., М.: SUM. 2. Belyakov А.А., Shulepov А.I. Transportation Task of Cargo Delivery onto Orbital Complexes / Material of student scientific conference 3–6 April 2018. To 20-years anniversary from the day of beginning of International Space Station exploitation. Samara, М.: SSAU, 2018. 3. Anikin B.А., Rodkina Т.А., Volochienko V.А. Оgistics and Management of Delivery Chains. Theory and Practice. Logistics Generalities: Study Guide. М., 2014. 

The method of cargo arrangement in transport spacecraft compartments under development of spacecraft system logistics

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The method of cargo arrangement in transport spacecraft compartments under development of spacecraft system logistics

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