• 제목/요약/키워드: second order theory

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Effective Hamiltonian Study on the Valence States of NH and $NH^+$

  • Jong Keun Park;Hosung Sun
    • Bulletin of the Korean Chemical Society
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    • 제11권1호
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    • pp.34-41
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    • 1990
  • The second order ab initio effective valence shell Hamiltonian is calculated for the valence state potential energy curves of NH and $NH^+$. From the potential energy curves various spectroscopic constants of valence states are determined. The results are in good agreement with experiments and configuration interaction calculations. They show the composite picture of potential energy curves and also indicate that the second order effective Hamiltonian theory is adequate for describing various valence states of a molecule and its ions simultaneously.

APPROXIMATE CONTROLLABILITY OF SECOND-ORDER NONLOCAL IMPULSIVE FUNCTIONAL INTEGRO-DIFFERENTIAL SYSTEMS IN BANACH SPACES

  • Baleanu, Dumitru;Arjunan, Mani Mallika;Nagaraj, Mahalingam;Suganya, Selvaraj
    • 대한수학회보
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    • 제55권4호
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    • pp.1065-1092
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    • 2018
  • This manuscript is involved with a category of second-order impulsive functional integro-differential equations with nonlocal conditions in Banach spaces. Sufficient conditions for existence and approximate controllability of mild solutions are acquired by making use of the theory of cosine family, Banach contraction principle and Leray-Schauder nonlinear alternative fixed point theorem. An illustration is additionally furnished to prove the attained principles.

MULTIPLICITY RESULTS FOR A CLASS OF SECOND ORDER SUPERLINEAR DIFFERENCE SYSTEMS

  • Zhang, Guoqing;Liu, Sanyang
    • 대한수학회보
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    • 제43권4호
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    • pp.693-701
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    • 2006
  • Using Minimax principle and Linking theorem in critical point theory, we prove the existence of two nontrivial solutions for the following second order superlinear difference systems $$(P)\{{\Delta}^2x(k-1)+g(k,y(k))=0,\;k{\in}[1,\;T],\;{\Delta}^2y(k-1)+f(k,\;x(k)=0,\;k{\in}[1,\;T],\;x(0)=y(0)=0,\;x(T+1)=y(T+1)=0$$ where T is a positive integer, [1, T] is the discrete interval {1, 2,..., T}, ${\Delat}x(k)=x(k+1)-x(k)$ is the forward difference operator and ${\Delta}^2x(k)={\Delta}({\Delta}x(k))$.

도서관학의 학문적성격과 체계화에 관한 연구 (A Study on the Scientific Character and Systematization Libraty Science)

  • 김정소
    • 한국도서관정보학회지
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    • 제5권
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    • pp.1-31
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    • 1978
  • This thesis is to discuss and prove the identity of the acts of the library and the character of the library which regards these as its objects. And this study is analyzed in view of per ceptual problems and scientific problems and scientific problems, in order to make clear the character of the acts of the library. In these processes, some basic propositions are extracted. First, culture can be found in arranged order. Second, human being can create culture by the acquisition of accmulated culture. Third, an individual is purposely related with culture. Fourth, culture is antonomous to mankind. And in this thesis, library science is defined as the systematic formation of mankind's pursuing acts, and to identify this definition, some theoretical models of library science have been offered as follows : Model I 1. Theory of making culture assets informative. 2. Theory of making culture assets empirical; that of imformation treatment. 3. Theory of medial acts of librarians. Model II 4. Theory of organic systems of libraries. Model III 5. Theory of guiding school activities. 6. Theory of extending the inhabitants' interests of communities. 7. Theory of a kind of resources in social improvement. Model IV 8. Theory of a means of principal approach to the succession of culture. In conclusion, this study is to prove that acts of libraries are the universal ones of those human being that are gualified to be the unique means to the creation of culture and, library science is a science that shapes concepts and rules to describe, to make explanation and to foretell these acts.

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최적의 2차 편광모드분산 보상에 관한 이론적 고찰 (Theory of optimal second-order PMD compensation)

  • 김상인
    • 한국광학회지
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    • 제14권6호
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    • pp.583-587
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    • 2003
  • 본 논문에서는 피드포워드(feedforward) 방식의 2차 편광모드분산 보상에 있어서 보상 장치에서 발생시켜야 할 최적의 보상 벡터를 펄스 폭 증가율을 최소화함으로써 이론적으로 유도하였다. 최적의 2차 보상 벡터는 전송 선로의 편광모드분산 벡터의 단순한 Taylor전개식과는 달리, 편광모드분산 벡터와 출력 신호 편광의 주파수 평균들의 선형 조합으로 표현됨을 밝혔다. 최적의 2차 편광모드분산 보상에서의 펄스 폭 증가율을 해석적으로 계산하였으며, 계산 결과를 전산 모의 실험에 의한 결과와 비교하여 일치함을 확인하였다. 본 논문에서 유도한 최적의 2차 보상 벡터에 관한 공식은 피드포워드 방식의 2차 편광모드분산 보상에 반드시 필요한 정보를 제공한다.

Adaptive second-order nonsingular terminal sliding mode power-level control for nuclear power plants

  • Hui, Jiuwu;Yuan, Jingqi
    • Nuclear Engineering and Technology
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    • 제54권5호
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    • pp.1644-1651
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    • 2022
  • This paper focuses on the power-level control of nuclear power plants (NPPs) in the presence of lumped disturbances. An adaptive second-order nonsingular terminal sliding mode control (ASONTSMC) scheme is proposed by resorting to the second-order nonsingular terminal sliding mode. The pre-existing mathematical model of the nuclear reactor system is firstly described based on point-reactor kinetics equations with six delayed neutron groups. Then, a second-order sliding mode control approach is proposed by integrating a proportional-derivative sliding mode (PDSM) manifold with a nonsingular terminal sliding mode (NTSM) manifold. An adaptive mechanism is designed to estimate the unknown upper bound of a lumped uncertain term that is composed of lumped disturbances and system states real-timely. The estimated values are then added to the controller, resulting in the control system capable of compensating the adverse effects of the lumped disturbances efficiently. Since the sign function is contained in the first time derivative of the real control law, the continuous input signal is obtained after integration so that the chattering effects of the conventional sliding mode control are suppressed. The robust stability of the overall control system is demonstrated through Lyapunov stability theory. Finally, the proposed control scheme is validated through simulations and comparisons with a proportional-integral-derivative (PID) controller, a super twisting sliding mode controller (STSMC), and a disturbance observer-based adaptive sliding mode controller (DO-ASMC).

Palm Oil Mill Effluent 처리 시 Anaerobic Hybrid Reactor의 기질 제거 Kinetics 비교 (A Comparison of Substrate Removal Kinetics of Anaerobic Reactor systems treating Palm Oil Mill Effluent)

  • 오대양;신창하;김태훈;박주양
    • 상하수도학회지
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    • 제25권6호
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    • pp.971-979
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    • 2011
  • Palm Oil Mill Effluent (POME) is the mixed organic wastewater generated from palm oil industry. In this study, kinetic analysis with treating POME in an anaerobic hybrid reactor (AHR) was performed. Therefore, the AHR was monitored for its performances with respect to the changes of COD concentrations and hydraulic retention time (HRT). Batch tests were performed to find out the substrate removal kinetics by granular sludge from POME. Modified Stover Kincannon, First-order, Monod, Grau second-order kinetic models were used to analyze the performance of reactor. The results from the batch test indicate that the substrate removal kinetics of granular sludge is corresponds to follow Monod's theory. However, Grau second-order model were the most appropriate models for the continuous test in the AHR. The second order kinetic constant, saturation value constant, maximum substrate removal rate, and first-order kinetic constant were 2.60/day, 41.905 g/L-day, 39.683 g/L-day, and 1.25/day respectively. And the most appropriate model was Grau second-order kinetic model comparing the model prediction values and measured COD concentrations of effluent, whereas modified Stover-Kincannon model showed the lowest correlation.

Nonlinear wind-induced instability of orthotropic plane membrane structures

  • Liu, Changjiang;Ji, Feng;Zheng, Zhoulian;Wu, Yuyou;Guo, Jianjun
    • Wind and Structures
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    • 제25권5호
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    • pp.415-432
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    • 2017
  • The nonlinear aerodynamic instability of a tensioned plane orthotropic membrane structure is theoretically investigated in this paper. The interaction governing equation of wind-structure coupling is established by the Von $K\acute{a}rm\acute{a}n's$ large amplitude theory and the D'Alembert's principle. The aerodynamic force is determined by the potential flow theory of fluid mechanics and the thin airfoil theory of aerodynamics. Then the interaction governing equation is transformed into a second order nonlinear differential equation with constant coefficients by the Bubnov-Galerkin method. The critical wind velocity is obtained by judging the stability of the second order nonlinear differential equation. From the analysis of examples, we can conclude that it's of great significance to consider the orthotropy and geometrical nonlinearity to prevent the aerodynamic instability of plane membrane structures; we should comprehensively consider the effects of various factors on the design of plane membrane structures; and the formula of critical wind velocity obtained in this paper provides a more accurate theoretical solution for the aerodynamic stability of the plane membrane structures than the previous studies.

Transverse dynamics of slender piezoelectric bimorphs with resistive-inductive electrodes

  • Schoeftner, Juergen;Buchberger, Gerda;Benjeddou, Ayech
    • Smart Structures and Systems
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    • 제18권2호
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    • pp.355-374
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    • 2016
  • This paper presents and compares a one-dimensional (1D) bending theory for piezoelectric thin beam-type structures with resistive-inductive electrodes to ANSYS$^{(R)}$ three-dimensional (3D) finite element (FE) analysis. In particular, the lateral deflections and vibrations of slender piezoelectric beams are considered. The peculiarity of the piezoelectric beam model is the modeling of electrodes in such a manner that is does not fulfill the equipotential area condition. The case of ideal, perfectly conductive electrodes is a special case of our 1D model. Two-coupled partial differential equations are obtained for the lateral deflection and for the voltage distribution along the electrodes: the first one is an extended Bernoulli-Euler beam equation (second-order in time, forth order in space) and the second one the so-called Telegrapher's equation (second-order in time and space). Analytical results of our theory are validated by 3D electromechanically coupled FE simulations with ANSYS$^{(R)}$. A clamped-hinged beam is considered with various types of electrodes for the piezoelectric layers, which can be either resistive and/or inductive. A natural frequency analysis as well as quasi-static and dynamic simulations are performed. A good agreement between the extended beam theory and the FE results is found. Finally, the practical relevance of this type of electrodes is shown. It is found that the damping capability of properly tuned resistive or resistive-inductive electrodes exceeds the damping performance of beams, where the electrodes are simply linked to an optimized impedance.

Government-Nonprofit Service Delivery from Resource Dependence Theory: Revising with System Dynamics

  • Cho, Sung-Sook
    • 한국시스템다이내믹스연구
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    • 제8권1호
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    • pp.5-24
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    • 2007
  • This study explores the partnership between government and human service nonprofits in the United States from the perspective of resource dependence theory and extends the theory with system dynamics in order to better explain government-nonprofit service delivery. The article is structured as follows. First, I introduce the historical development of the government-nonprofit partnership in service delivery in the United States. Second, I present an overview of resource dependence theory for government-nonprofit service delivery, including assumptions, key elements, claims, how well it explains the government-nonprofit service delivery, and limitations. Third, I highlight the advantages of system dynamics along with the limitations of resource dependence theory, as an attempt to revise the theory. Finally, I conclude with a summary and suggestions for the next steps in theoretical development and research.

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