Aeronautical and Aerospace Material and Structural Damages to Failures: Theoretical Concepts

Abstract

The goal of this paper is to investigate the possible directions of some specified methods for aeronautical and aerospace material and structure effectiveness modeling and optimization. Multioptionality hybrid function uncertainty conditional optimization doctrine application is supposed to be implemented for a degrading failure problem optimal solution determination. The optimal solution is assumed to deliver the maximum value to the probability of damage but not the failure state of the studied material behavior. The principal supposition is that there should be some certain objectively existing value extremized in the conditions of the hybrid optional function uncertainty. There is a scientific proof for the choice of a good maintenance optimal periodicity method that fits the customer's needs, taking into account the effectiveness functions pertaining to the options. The described doctrine allows obtaining the objectively existing optimal values not with the help of a probabilistic but rather with a multioptimal concept. The subjective entropy maximum principle is the other paradigm concept involved in the considered problem solution, which is an equivalent for the uncertainty conditional optimization at the optimal hybrid function distribution determination. By applying simplified, however possible, models and expressions for effectiveness, plausible results are obtained and illustrated in diagrams visualizing the situation and allowing for the selection of a good choice. The ideas of the required material method choice optimization with respect to only two simple parameters, nevertheless, develop numerous particular combinations. Moreover, an increase in the number of parameters and further complication of the problem setting will not change the principle of the problem solution.

Airworthiness Support Measures Analogy to the Prospective Roundabouts Alternatives: Theoretical Aspects

“…It is proposed to consider theoretically the modeling and optimizing of a few, for example, competing roundabouts. The supposed roundabouts worthiness is deemed to be supported in an analogous to airworthiness way [16][17][18][19][20].…”

“…The theoretical solution to the objective functional similar to (1) or (4), in the framework of the approach analogous to (6) - (16), results in the other view optimal function.…”

“…Optimality. As the solutions in the view of equations (16) and (23) are found on just the necessary condition (6) for the extremums existence, it is required to check the solutions for being really optimal subject to the stated problem settings constraints.…”

“…where opt (( 0 + 1 )/2) depicts the modeled variated function interrelationships between the alternating traffic flow in v/h and the function's optimal value of equation (16) opt = 10 CU in the middle of the accepted range of the traffic flow variation. Now, from the matrix-vector equation engaging the equations of (24) and (25)…”

“…The presented paper theoretical concept is centered upon the issues related with the support of the alternative roundabouts worthiness (vehicle worthiness, riding worthiness, transportation worthiness, etc.). The prototypic approach is adopted from the aircraft airworthiness support measures concepts of [16][17][18][19][20] developed from subjective analysis [21] on the basis of the Jaynes' principle [22][23][24] in the framework of the calculus of variations theory [25].…”