A Method for Characterizing the Impact Response Evolution Process of Beam Structure Using Entropy Theory

Regional transportation system is a dissipative structure. Based on the properties of transportation system, average traffic congestion degree of effective road is used as a sequential parameter to describe the process and direction of system evolution. An entropy measuring model is put forward based on entropy theory and information theory after analyzing the dissipative structure property of the transportation system. Finally, transportation system entropy in Beijing Metropolitan Area from 1998 to 2004 is calculated according to the model, and the process and direction of system evolution is analyzed based on entropy change theory.

The moral principle that Mr. Floridi merely judges the Good and Evil with the amount of entropy is based on the simplicity and unipolar way of thinking. If practicing in accordance with his principle of Goodness that absolutely excluding entropy, then, in the field of nature and biology can only lead to the end of the dynamic changes, in the field of human mind and scientific development can only lead to rigid and stagnant, in the social field can only lead to fascist autocratic centralization system. The orderly and disorderly development of things have those limits, entropy and entropy increase is not absolute “Evil”, information and entropy reduction is not absolutely “Good”. In the evolution of universe and things embodied in it, there is no evil of eternal entropy increase, and no good of eternal entropy reduction. When the evolution of the whole entropy increases to a certain extent, it will naturally turn into the evolution of the whole entropy reduction; and vice versa, when the evolution of the whole entropy decreases to a certain limit, it will naturally turn into the whole Entropy increase in the evolution process. A reasonable ethical principle should reconcile opposing factors, such as information and entropy, orderly and disorder, integrity and reducibility, certainty and non-determinism, determinism and non-determinism, purpose and randomness, inevitability and contingency, and maintain a reasonable tension between these opposing factors. A reasonable conclusion can only be: Good—relaxation between order and disorder. In addition, the entropy theory (whether it is physical entropy or information entropy) that Floridi borrowed corresponding to order and disorder, and it only deals with grammatical information. The problem of information directly related to ethics and value is mainly in semantics and pragmatics, rather than simply in its grammar, and it is impossible to derive it simply and directly from the size of this formalized entropy. The lagging way of thinking, the deviation of the entropy and the understanding of information theory, led to Mr. Floridi’s information ethical framework hardly to support his ambition to establish macro-ethics. In the same way, his information ethics is also very difficult to be the philosophical foundation of his commitment to the construction of human ecological civilization. In fact, as early as the 20th century, 90 years, Chinese scholars have put forward a general philosophy of value transcended the human-centered narrow position in the name of the natural ontology. This philosophy of value is not only compatible with natural values and human values, but also compatible with material values and information values. It is the value and ethical paradigm putted forward by such a philosophy of value laid the foundation for the construction of human information ecological civilization and the general philosophical basis of sustainable development theory and practice.

When processing signals, information entropy theory and data fusion theory have their own advantages. The former can improve the sensitivity of signals, while the latter can superimpose multisource information to correct system deviations and obtain the best identification results. Therefore, we introduce two theories into structural damage identification to improve the reliability of damage identification. First, based on the modal strain energy damage identification index, combined with information entropy and data fusion theory, a fusion entropy index (FE) and an entropy weight fusion index (EWF) are constructed. Then, the simply supported beam and truss structure model are established for damage simulation, which verified that the FE index and EWF index can accurately locate the damage. The polynomial fitting method is used to identify the damage degree of the structure, and the identification results obtained are more accurate. Finally, a simple-supported steel beam model is established in the laboratory for verification and analysis. The results show that the proposed FE index and EWF index have high damage sensitivity, noise resistance, and robustness, and relatively speaking, EWF index damage recognition ability is better. The method proposed in this paper provides an empirical method for practical engineering application.

Some researches indicated that operational research activities could achieve a sustainable competitive advantage for the organization. However, how to achieve a sustainable competitive advantage by operational research activities has not yet been scientifically and entirely revealed. Based on theories of management entropy and management dissipative structure, it establishes the entropy flow model and discourses on the positive and negative entropy flows in the evolutionary process from operational research activities to sustainable competitive advantage. Then, it develops formulations of management dissipative structure containing the positive and negative entropy flows from organization and environment. By solving these formulations, the value of total entropy can be calculated, and whether the formation of management dissipative structure can be estimated. This research provides a new referenced scheme to reduce the increasing of positive entropy flow and introduce negative entropy flow to accelerate the evolutionary process from operational research activities to sustainable competitive advantage.

In order to improve the safety and stability of new energy vehicle charging operation, the risk factors in the process of new energy vehicle charging operation were analyzed from the perspective of intrinsic safety. Based on dissipation structure theory, entropy theory and generalized energy theory, we analyzed the dissipation structure characteristics of the process, clarify the dissipation mechanism and entropy flow process, and quantify the energy evolution process. The evaluation model of new energy vehicle charging operation based on safety entropy was constructed, and the preliminary indexes were determined by combining the track crossing theory and "4M theory". The final indexes were determined by expert scoring. The results show that the charging process of new energy vehicles meets the characteristics of openness, rise and fall leading to order, nonlinear interaction and far from equilibrium. Entropy and energy can be used to describe the reliability and stability of the process. The evaluation model is verified by example to meet the requirements of reasonableness and reliability.

Because the enterprise management incentive mechanism operates in the complexity and nonlinearity of the enterprise system, its life evolution process is full of uncertainty and chaos. The theory of management entropy and management dissipative structure reveals two trends in the development of corporate organizational structure and incentive mechanism. Through the analysis of information asymmetry in corporate activities, we can know that information asymmetry absolutely exists. In order to weaken the information asymmetry, the enterprise must design an effective management system to make the company management more systematic. Based on the analysis of the basic theories of management entropy and management dissipative structure, this paper applies the two to the study of corporate incentives. Then, based on the self-organization theory of dissipative structure, we discussed the orderly evolution mechanism of the enterprise management system, and judged the development trend of corporate management performance from the perspective of system changes. The order degree calculation model can then evaluate the efficiency of corporate management and provide a new perspective for corporate management. Judging the role and development stage of management entropy and management dissipative structure in the enterprise’s incentive mechanism, so that the incentive can play an effective role, and provide theoretical support and practical methods for the enterprise to establish a good incentive mechanism.

The occurrence of rock bursts is very complicated. Its essence is the catastrophic mechanical behavior of a complex large system through its spatiotemporal evolution. Therefore, it is necessary to study the entire process of gestation, development, and initiation of the pressure bumps from a systematic viewpoint and a larger scale. This chapter focuses on a systematical study on the generation and development of rock burst from the angle of energy dissipation. We first introduce the concept of a rock burst activity domain system (RADS) and, based on the concept, deal with the related theory of thermodynamic entropy and entropy change equation. We then analyze the spatiotemporal characteristics of the two-dimensional entropy change and energy dissipation. At last, we discuss the evolution process of the main RADS (MRADS) based on the dissipative structure theory.

Generally, the damage of the structure will lead to the discontinuity of the local mode shape, which can be well reflected by the modal curvature of the structure, and the local information entropy of the beam structure will also change with the discontinuity of the mode. In this paper, based on the information entropy theory and combining the advantages of modal curvature index in damage identification of beam structure, the modal curvature utility information entropy index is proposed. The modal curvature curves of nondestructive structures were obtained by fitting the modal curvature curves of damage structures with the gapped smoothing technique to avoid dependence on the baseline data of nondestructive structures. The index comprehensively reflects the damage state of the structure by calculating mutual weight change matrix and the weight‐probability coefficient. The performance of the new index was verified by the finite element simulation and model test of simply supported beam, respectively. The results show that the modal curvature utility information entropy index takes advantage of the modal curvature index which is sensitive to damage and can overcome its shortcomings effectively. The index proposed can identify the damage location and damage degree accurately and has certain noise immunity, which provides an effective damage identification indicator for beam structures.

The nonlinear numerical analysis of the impact response of reinforced concrete/mortar beam incorporated with the updated Lagrangian method, namely the Smoothed Particle Hydrodynamics (SPH) is carried out in this study. The analysis includes the simulation of the effects of high mass low velocity impact load falling on beam structures. Three material models to describe the localized failure of structural elements are: (1) linear pressure-sensitive yield criteria (Drucker-Prager type) in the pre-peak regime for the concrete/mortar meanwhile, the shear strain energy criterion (Von Mises) is applied for the steel reinforcement (2) nonlinear hardening law by means of modified linear Drucker-Prager envelope by employing the plane cap surface to simulate the irreversible plastic behavior of concrete/mortar (3) implementation of linear and nonlinear softening in tension and compression regions, respectively, to express the complex behavior of concrete material during short time loading condition. Validation upon existing experimental test results is conducted, from which the impact behavior of concrete beams are best described using the SPH model adopting an average velocity and erosion algorithm, where instability in terms of numerical fragmentation is reduced considerably.

To address the dynamic decision-making and control problem in unmanned aerial vehicle (UAV) swarms, this paper proposes a cumulative prospect theory-driven pigeon-inspired optimization (CPT-PIO) algorithm. Gray relational analysis and information entropy theory are integrated into cumulative prospect theory (CPT), constructing a prospect value model for Pareto solutions by setting reference points, defining value functions, and determining attribute weights. This prospect value is used to evaluate the quality of each Pareto solution and serves as the fitness function in the pigeon-inspired optimization (PIO) algorithm to guide its evolutionary process. Furthermore, incorporating individual and swarm situation assessment methods, the situation assessment model is constructed and the information entropy theory is employed to ascertain the weight of each assessment index. Finally, the reverse search mechanism and competitive learning mechanism are introduced into the standard PIO to prevent premature convergence and enhance the population’s exploration capability. Simulation results demonstrate that the proposed CPT-PIO algorithm significantly outperforms two novel multi-objective optimization algorithms in terms of search performance and solution quality, yielding higher-quality Pareto solutions for dynamic UAV swarm decision-making.

The entanglement degree is investigated by means of the entropy theory between a two-level atom and a coherent field with varying frequency via two-photon transition. We restrict our attention to two cases, the field frequency varying with time in the forms of sine and rectangle. When the field frequency varies with time in the form of sine, the entanglement degree will increase sharply and maintain high values. By changing the amplitude α and angular frequency β of the field-frequency variation respectively, we find that the evolution process is more sensitive to the former. In the rectangular modulation case, different results will be produced when the pulses appear at different time. Comparing the pulses appearing at every minimum value with that at every maximum value, the entanglement degree will increase and reach stability more quickly and easily in the lattev case. The sudden change caused by the rectangular modulation is particularly beneficias to the control of the value of the field entropy.

The stability of the interbank market is an essential guarantee for the sustainable development of society. Network entropy theory provides a critical research paradigm for the study of the stability of the interbank market. Considering that few scholars have conducted in-depth analysis on the influencing factors of the network entropy’s evolution process, this paper constructs the stock correlation network entropy model in the Chinese interbank market based on the correlation of stock price fluctuation. It focuses on analyzing the influencing factors in the dynamic evolution process of the stock correlation network entropy. In the light of empirical research, we can obtain the following results. First, the interbank market network’s aggregation coefficient, the interbank market network’s centrality, and the bank stock’s return rate play a positive role in the dynamic evolution of stock correlation network entropy in the Chinese interbank market. Second, the bank stock return’s volatility is negatively correlated with its network entropy. To maintain the stability of the financial market, the supervision department can monitor the stability of the interbank market by constructing the stock correlation network entropy.

The objective of this study was to test indicators and improve the assessment of groundwater sustainability by using a synthetic method. An indicator system of groundwater sustainability was constructed under the framework of driver–pressure–state–impact–response, and a method for the assessment of groundwater sustainability was developed by using analytic hierarchy process together with information entropy theory. This method was used to calculate the weight of each indicator. And then, the sustainability scale was determined by the indicator zoning methods. The assessment results of a case study in Hohhot Plain, China, demonstrated that the method greatly reduced the randomicity and anthropogenic influence on the determination of weight of indicators; and gave a quantitative classification on sustainability scale which produced a rational result on the assessment of groundwater sustainability in Hohhot Plain.

ABSTRACTThis article presents a hybrid method combining a modified non-dominated sorting genetic algorithm (MNSGA-II) with grey relational analysis (GRA) to improve the static–dynamic performance of a body-in-white (BIW). First, an implicit parametric model of the BIW was built using SFE-CONCEPT software, and then the validity of the implicit parametric model was verified by physical testing. Eight shape design variables were defined for BIW beam structures based on the implicit parametric technology. Subsequently, MNSGA-II was used to determine the optimal combination of the design parameters that can improve the bending stiffness, torsion stiffness and low-order natural frequencies of the BIW without considerable increase in the mass. A set of non-dominated solutions was then obtained in the multi-objective optimization design. Finally, the grey entropy theory and GRA were applied to rank all non-dominated solutions from best to worst to determine the best trade-off solution. The comparison between the GRA and the technique for order of preference by similarity to ideal solution (TOPSIS) illustrated the reliability and rationality of GRA. Moreover, the effectiveness of the hybrid method was verified by the optimal results such that the bending stiffness, torsion stiffness, first order bending and first order torsion natural frequency were improved by 5.46%, 9.30%, 7.32% and 5.73%, respectively, with the mass of the BIW increasing by 1.30%.

The purpose of this paper is to explore the evolution process of knowledge service network in supply chain. On the perspective of entropy theory, the knowledge service entropy is first defined based on the concept of information entropy and grey relation, the analysis and model of entropy change of knowledge service network in supply chain is given. And then, based on grey system theory and complex system theory, evolutionary rate and entropy change process of four evolutionary stages are explored with the Logistic equation. At last, a Logistic growth curve is illustrated under two strategies which are delay strategy and sustainable evolution strategy. It is pointed out that the evolutionary process of knowledge service network in supply chain could be controlled through controlling of threshold of state variables.