• Title/Summary/Keyword: the unconditional constant

Search Result 7, Processing Time 0.018 seconds

A novel two sub-stepping implicit time integration algorithm for structural dynamics

  • Yasamani, K.;Mohammadzadeh, S.
    • Earthquakes and Structures
    • /
    • v.13 no.3
    • /
    • pp.279-288
    • /
    • 2017
  • Having the ability to keep on yielding stable solutions in problems involving high potential of instability, composite time integration methods have become very popular among scientists. These methods try to split a time step into multiple sub-steps so that each sub-step can be solved using different time integration methods with different behaviors. This paper proposes a new composite time integration in which a time step is divided into two sub-steps; the first sub-step is solved using the well-known Newmark method and the second sub-step is solved using Simpson's Rule of integration. An unconditional stability region is determined for the constant parameters to be chosen from. Also accuracy analysis is perform on the proposed method and proved that minor period elongation as well as a reasonable amount of numerical dissipation is produced in the responses obtained by the proposed method. Finally, in order to provide a practical assessment of the method, several benchmark problems are solved using the proposed method.

Stability and accuracy for the trapezoidal rule of the Newmark time integration method with variable time step sizes (가변시간간격을 갖는 Newmark 시간적분법의 사다리꼴법칙에 대한 안정성과 정확도)

  • Noh, Yong-Su;Chung, Jin-Tae;Bae, Dae-Seong
    • Transactions of the Korean Society of Mechanical Engineers A
    • /
    • v.21 no.10
    • /
    • pp.1712-1717
    • /
    • 1997
  • Stability and accuracy for the trapezoidal rule of the Newmark time integration method are analyzed when variable time step sizes are adopted. A new analytic approach to stability and accuracy analysis is also proposed for time integration methods with variable time step sizes. The trapezoidal rule with variable time step sizes has the "actual" unconditional stability which is the same as that of the method with constant time step sizes. However, the method with variable time step sizes is first-order accurate while the method with constant time step sizes is second-order accurate. accurate.

A Generalizatoion of the Trpezoidal Rule for Dynamic Analysis (동적문제 해석을 위한 사다리꼴 시간적분법의 일반화)

  • 조진연;김승조
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
    • /
    • 1997.04a
    • /
    • pp.110-115
    • /
    • 1997
  • In this work, the constant average acceleration, which is a fundamental feature of the trapezoidal rule, is investigated and generalized. Using the generalization of average acceleration concept, a higher order accurate and unconditionally stable time-integration method is developed. The linear approximate of the present methods is exactly the same as the famous trapezoidal rule. To observe the accuracy and stability of the method, several numerical tests are performed and the results are compared with the results from the trapezoidal rule and the exact solution. From the numerical tests, it has been known that the present method has a higher order accuracy and unconditional stability.

  • PDF

Clustering Korean Stock Return Data Based on GARCH Model (이분산 시계열모형을 이용한 국내주식자료의 군집분석)

  • Park, Man-Sik;Kim, Na-Young;Kim, Hee-Young
    • Communications for Statistical Applications and Methods
    • /
    • v.15 no.6
    • /
    • pp.925-937
    • /
    • 2008
  • In this study, we considered the clustering analysis for stock return traded in the stock market. Most of financial time-series data, for instance, stock price and exchange rate have conditional heterogeneous variability depending on time, and, hence, are not properly applied to the autoregressive moving-average(ARMA) model with assumption of constant variance. Moreover, the variability is font and center for stock investors as well as academic researchers. So, this paper focuses on the generalized autoregressive conditional heteroscedastic(GARCH) model which is known as a solution for capturing the conditional variance(or volatility). We define the metrics for similarity of unconditional volatility and for homogeneity of model structure, and, then, evaluate the performances of the metrics. In real application, we do clustering analysis in terms of volatility and structure with stock return of the 11 Korean companies measured for the latest three years.

The Construction and Characters of the Welfare Rights (복지권의 구성과 성격)

  • Ahn, Chi-Min
    • Korean Journal of Social Welfare
    • /
    • v.55
    • /
    • pp.5-25
    • /
    • 2003
  • This study analysed the components and characters of welfare rights through discussions of the concepts and types of universal rights, and discussions of human rights and citizenship rights. Welfare rights is claims rights which requires somewhat, and it is positive rights. And it is generally passive rights, but it contains collective participation rights which is active rights. The result of total discussions of rights, human rights, and citizenship rights led us to know the components and characters of welfare rights. Welfare rights contains social rights, economic rights, and cultural environmental rights. Social rights are composed of the right of social security, social welfare service, health, education, and residency. Economic rights are composed of the right of labor, intervension of labor market, job security, and capital control. cultural environmental rights are composed of the right of culture and environment. And welfare rights has several characters. First, it is natural rights which is bestowed on the citizens or people in modern civil societies. it is samely characterised as liberties and political rights. second, it has the same values like other rights such as lberties and political rights. Or it is more important, because it is necessary for other rights. Third, it is not the objective being which is constant, but it is changed, formed and constructed as total rights with human rights and citizenship rights. Fourth, it is truely rights, but is simultaniously accompanied by obligations. But the obligations is unconditional like as other rights. Endly, levels of welfare on the welfare rights must be modicum rather than minimum. The meaning of modicum level is uncertain, but it aims to the entire participation of peoples as citizen and social integration. And it has to aim to the prevention of heridity and continuity of inequality.

  • PDF