• Title/Summary/Keyword: Structural Stability and Dynamics

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Time-discontinuous Galerkin quadrature element methods for structural dynamics

  • Minmao, Liao;Yupeng, Wang
    • Structural Engineering and Mechanics
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    • v.85 no.2
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    • pp.207-216
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    • 2023
  • Three time-discontinuous Galerkin quadrature element methods (TDGQEMs) are developed for structural dynamic problems. The weak-form time-discontinuous Galerkin (TDG) statements, which are capable of capturing possible displacement and/or velocity discontinuities, are employed to formulate the three types of quadrature elements, i.e., single-field, single-field/least-squares and two-field. Gauss-Lobatto quadrature rule and the differential quadrature analog are used to turn the weak-form TDG statements into a system of algebraic equations. The stability, accuracy and numerical dissipation and dispersion properties of the formulated elements are examined. It is found that all the elements are unconditionally stable, the order of accuracy is equal to two times the element order minus one or two times the element order, and the high-order elements possess desired high numerical dissipation in the high-frequency domain and low numerical dissipation and dispersion in the low-frequency domain. Three fundamental numerical examples are investigated to demonstrate the effectiveness and high accuracy of the elements, as compared with the commonly used time integration schemes.

Considering the Concept of Resilience toward Applying to System Dynamics Approach (시스템의 회복성에 대한 이론적 검토와 시스템 다이내믹스 방법론의 적용)

  • Jeon, Dae Uk
    • Korean System Dynamics Review
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    • v.14 no.2
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    • pp.5-30
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    • 2013
  • The concept of resilience in complex and adaptive socio-economic systems, has been a buzz word in international societies and academies related to policy makers for sustainable development since some years ago. This paper deals with an application of the resilient concept, which has been told since the last some decades in the field of ecology and applied system sciences, to social science especially in system dynamics. First the author introduces the concept of equilibrium stability and resilience in simple dynamic models, and moreover provides the behavioral characteristics and examples of system resilience in terms of system dynamics. The concept of resilience in structural perspectives are also discussed with the topics of panarchy and adaptive renewal cycles, etc.

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Dislocation dynamics simulation on stability of high dense dislocation structure interacting with coarsening defects

  • Yamada, M.;Hasebe, T.;Tomita, Y.;Onizawa, T.
    • Interaction and multiscale mechanics
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    • v.1 no.4
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    • pp.437-448
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    • 2008
  • This paper examined the stability of high-dense dislocation substructures (HDDSs) associated with martensite laths in High Cr steels supposed to be used for FBR, based on a series of dislocation dynamics (DD) simulations. The DD simulations considered interactions of dislocations with impurity atoms and precipitates which substantially stabilize the structure. For simulating the dissociation processes, a point defect model is developed and implemented into a discrete DD code. Wall structure composed of high dense dislocations with and without small precipitates were artificially constructed in a simulation cell, and the stability/instability conditions of the walls were systematically investigated in the light of experimentally observed coarsening behavior of the precipitates, i.e., stress dependency of the coarsening rate and the effect of external stress. The effect of stress-dependent coarsening of the precipitates together with application of external stress on the subsequent behavior of initially stabilized dislocation structures was examined.

Study on the cantilever ratio optimization of high-temperature molten salt pump for molten salt reactor based on structural integrity

  • Xing-Chao Shen;Yuan Fu;Jian-Yu Zhang;Jin Yang;Zhi-Jun Li
    • Nuclear Engineering and Technology
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    • v.56 no.9
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    • pp.3730-3739
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    • 2024
  • The high-temperature molten salt pump is the core equipment in the small modular molten salt reactor with media temperatures up to 700 ℃. The cantilever ratio of the molten salt pump is usually large. Excessively large cantilever ratios cause increased deformations and rotational amplitudes at the impeller, thus affecting the operational stability of the main pump; small cantilever ratios cause heavy temperature gradients, thus affecting the structural integrity evaluation. This paper used numerical simulation methods to calculate and analyze the temperature field, stress, and structural integrity, optimized the pump shaft cantilever length of the original scheme based on structural integrity using the dichotomy method, and analyzed the rotor dynamics of the optimization results. The results of this study show that the thermal expansion load caused by the temperature difference has a significant mechanical effect on the structure; the first-order critical speed of the rotor system of the optimized schemes has been improved, and the amplitude of the unbalanced response has been significantly reduced, which not only improves the operational stability of the rotor, also contributes to the compact design of the main pump of a small modular molten salt reactor.

A Study on the Development of Personal Mobility for the Vulnerable Group (취약계층을 위한 개인 이동체 개발 연구)

  • Han, Kwang Ho;Lee, Chul-Hee
    • Journal of Drive and Control
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    • v.18 no.4
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    • pp.35-42
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    • 2021
  • A personal mobility withstanding function for the disabled and vulnerable groups with difficulties in mobility was developed and structural and dynamics analysis was conducted. Personal mobility devices are a very helpful means of transportation for the disabled and vulnerable groups. In addition, the standing function allows individuals to perform a difficult task in while seated and offers a medical advantage to the user. In this study, a personal mobility device was designed and developed to help vulnerable groups and disabled people overcome limited mobility, and communicate with the general people at eye level through standing functions. Through structural and dynamic analysis, the structural safety, optimal speed during rotation, and lateral acceleration of the personal mobility device was analyzed. The analysis results are expected to contribute to the improvement of the users' convenience and stability of personal mobility.

An effective locally-defined time marching procedure for structural dynamics

  • Sofiste, Tales Vieira;Soares, Delfim Jr;Mansur, Webe Joao
    • Structural Engineering and Mechanics
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    • v.73 no.1
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    • pp.65-73
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    • 2020
  • The present work describes a new time marching procedure for structural dynamics analyses. In this novel technique, time integration parameters are automatically evaluated according to the properties of the model. Such parameters are locally defined, allowing the user to input a numerical dissipation property for each element, which defines the amount of numerical dissipation to be introduced. Since the integration parameters are locally defined as a function of the structural element itself, the time marching technique adapts according to the model, providing enhanced accuracy. The new methodology is based on displacement-velocity relations and no computation of accelerations is required. Furthermore, the method is second order accurate, it has guaranteed stability, it is truly self-starting and it allows highly controllable algorithm dissipation in the higher modes. Numerical results are presented and compared to those provided by the Newmark and the Bathe methods, illustrating the good performance of the new time marching procedure.

Stability Analysis in Transient Cut during Endmilling (엔드밀링가공시 과도 영역에서의 안정성 평가)

  • Kang, Seok-Jae;Cho, Dong-Woo
    • Journal of the Korean Society for Precision Engineering
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    • v.18 no.3
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    • pp.195-204
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    • 2001
  • Virtual computer numerical control(VCNC) arises from the concept that one can experience pseudo-real machining with a computer-numerically-controlled(CNC) machine before actually cutting an object. To achieve accurate VCNC, it is important to determine abnormal behavior, such as chatter, before cutting. Detecting chatter requires an understanding of the dynamic cutting force model. In general, the cutting process is a closed loop system that consists of structural and cutting dynamics. Machining instability, namely chatter, results from the interaction between these two dynamics. Several previous reports have predicted stability for a single path, using a simple cutting force model without tool runout and penetration effects. This study considers both tool runout and penetration effects, using experimental modal analysis, to obtain more accurate predictions. The machining stability in the corner cut, which is a typical transient cut, was assessed from an evaluation of the cutting configurations at the corner.

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Dynamics and GA-Based Stable Control for a Class of Underactuated Mechanical Systems

  • Liu, Diantong;Guo, Weiping;Yi, Jianqiang
    • International Journal of Control, Automation, and Systems
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    • v.6 no.1
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    • pp.35-43
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    • 2008
  • The control of underactuated mechanical system is very complex for the loss of its control inputs. The model of underactuated mechanical systems in a potential field is built with Lagrangian method and its structural properties are analyzed in detail. A genetic algorithm (GA)based stable control approach is proposed for the class of under actuated mechanical systems. The Lyapunov stability theory and system properties are utilized to guarantee the system stability to its equilibrium. The real-valued GA is used to adjust the controller parameters to improve the system performance. This approach is applied to the underactuated double-pendulum-type overhead crane and the simulation results illustrate the complex system dynamics and the validity of the proposed control algorithm.

Stability of onshore pipelines in liquefied soils: Overview of computational methods

  • Castiglia, Massimina;de Magistris, Filippo Santucci;Napolitano, Agostino
    • Geomechanics and Engineering
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    • v.14 no.4
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    • pp.355-366
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    • 2018
  • One of the significant problems in the design of onshore pipelines in seismic areas is their stability in case of liquefaction. Several model tests and numerical analyses allow investigating the behavior of pipelines when the phenomenon of liquefaction occurs. While experimental tests contribute significantly toward understanding the liquefaction mechanism, they are costly to perform compared to numerical analyses; on the other hand, numerical analyses are difficult to execute, because of the complexity of the soil behavior in case of liquefaction. This paper reports an overview of the existing computational methods to evaluate the stability of onshore pipelines in liquefied soils, with particular attention to the development of excess pore water pressures and the floatation of buried structures. The review includes the illustration of the mechanism of floating and the description of the available calculation methods that are classified in static and dynamic approaches. We also highlighted recent trends in numerical analyses. Moreover, for the static condition, referring to the American Petroleum Institute (API) Specification, we computed and compared the uplift safety factors in different cases that might have a relevant practical use.