• Title/Summary/Keyword: dynamic surface design

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Exponential Stabilization of a Class of Underactuated Mechanical Systems using Dynamic Surface Control

  • Qaiser, Nadeem;Iqbal, Naeem;Hussain, Amir;Qaiser, Naeem
    • International Journal of Control, Automation, and Systems
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    • v.5 no.5
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    • pp.547-558
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    • 2007
  • This paper proposes a simpler solution to the stabilization problem of a special class of nonlinear underactuated mechanical systems which includes widely studied benchmark systems like Inertia Wheel Pendulum, TORA and Acrobot. Complex internal dynamics and lack of exact feedback linearizibility of these systems makes design of control law a challenging task. Stabilization of these systems has been achieved using Energy Shaping and damping injection and Backstepping technique. Former results in hybrid or switching architectures that make stability analysis complicated whereas use of backstepping some times requires closed form explicit solutions of highly nonlinear equations resulting from partial feedback linearization. It also exhibits the phenomenon of explosions of terms resulting in a highly complicated control law. Exploiting recently introduced Dynamic Surface Control technique and using control Lyapunov function method, a novel nonlinear controller design is presented as a solution to these problems. The stability of the closed loop system is analyzed by exploiting its two-time scale nature and applying concepts from Singular Perturbation Theory. The design procedure is shown to be simpler and more intuitive than existing designs. Design has been applied to important benchmark systems belonging to the class demonstrating controller design simplicity. Advantages over conventional Energy Shaping and Backstepping controllers are analyzed theoretically and performance is verified using numerical simulations.

OPTIMAL SHAPE DESIGN OF THE FRONT WHEEL LOWER CONTROL ARM CONSIDERING DYNAMIC EFFECTS

  • Kang, B.J.;Sin, H.C.;Kim, J.H.
    • International Journal of Automotive Technology
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    • v.8 no.3
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    • pp.309-317
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    • 2007
  • In this study, we conducted a vibration fatigue analysis of the lower control arm in a vehicle suspension system. The vehicle was driven during the tests so that the dynamic effects could be taken into account. The dynamic load of the frequency domain was superimposed on the frequency response analysis. We performed a virtual proving ground test using multi-body dynamics, along with a finite element analysis and fatigue life predictions. Shape optimization was also considered using the design of the experimental approach, and a response surface analysis was performed to improve the durability performance of the lower control arm. We identified the elements that had the most influence on the optimal shape of the finite element model and analyzed the sensitivity of those elements. Then the optimal points that minimized the amount of damage to the areas of interest were determined through a response surface analysis. The results suggested that the fatigue life of the model increased as its mass was not increased excessively, and demonstrated that these design procedures yielded an appropriate optimized lower control arm model.

Design Alterations of a Grinder of Semiconductor Wafer for the Improved Stability (반도체 Wafer용 Grinder의 안정화 설계)

  • Kil, Sa Geun;Ro, Seung Hoon;Shin, Yun Ho;Kim, Young Jo;Kim, Geon Hyeong
    • Journal of the Semiconductor & Display Technology
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    • v.16 no.1
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    • pp.91-96
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    • 2017
  • One of the most critical aspects of the modern semiconductor industry is the quality of wafer surface, the roughness of which is mostly caused by the ingot slicing. And the grinding is supposed to be the main process to reduce the surface roughness. The vibrations of the disc surface grinder are the major problem to effectively achieve the required surface quality. In this study, the structure of a disc surface grinder was analyzed through the experiment and the computer simulation to investigate the dynamic characteristics of the machine, and further to alter the design for the improved stability. The result of the study shows that simple design alterations without alternating main body can effectively suppress the vibrations of the machine.

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Robust Stabilization of Decentralized Dynamic Surface Control for a Class of Interconnected Nonlinear Systems

  • Song, Bong-Sob
    • International Journal of Control, Automation, and Systems
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    • v.5 no.2
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    • pp.138-146
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    • 2007
  • The analysis and design method for achieving robust stabilization of Decentralized Dynamic Surface Control (DDSC) is presented for a class of interconnected nonlinear systems. While a centralized design approach of DSC was developed in [1], the decentralized approach to deal with large-scale interconnected systems is proposed under the assumption that interconnected functions among subsystems are unknown but bounded. To provide a closed-loop form with provable stability properties, augmented error dynamics for N nonlinear subsystems with DDSC are derived. Then, the reachable set for errors of the closed-loop systems will be approximated numerically in the form of an ellipsoid in the framework of convex optimization. Finally, a numerical algorithm to calculate the $L_2$ gain of the augmented error dynamics is presented.

Investigation of Effect of Input Ground Motion on the Failure Surface of Mountain Slopes

  • Khalid, Muhammad Irslan;Pervaiz, Usman;Park, Duhee
    • Journal of the Korean GEO-environmental Society
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    • v.22 no.7
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    • pp.5-12
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    • 2021
  • The reliable seismic stability evaluation of the natural slopes and geotechnical structures has become a critical factor of the design. Pseudo-static or permanent displacement methods are typically employed to evaluate the seismic slope performance. In both methods, the effect of input ground motion on the sliding surface is ignored, and failure surface from the limit equilibrium method is used. For the assessment of the seismic sensitivity of failure surface, two-dimensional non-linear finite element analyses are performed. The performance of the finite element model was validated against centrifuge measurements. A parametric study with a range of input ground motion was performed, and numerical results were used to assess the influence of ground motion characteristics on the sliding surface. Based on the results, it is demonstrated that the characteristics of input ground motion have a significant influence on the location of the seismically induce failure surface. In addition to dynamic analysis, pseudo-static analyses were performed to evaluate the discrepancy. It is observed that sliding surfaces developed from pseudo-static and dynamic analyses are different. The location of the failure surface change with the amplitude and Tm of motion. Therefore, it is recommended to determine failure surfaces from dynamic analysis

Assessment of Response Spectrum by Dynamic Centrifuge Test for the Pile Foundation into the Sand (동적 원심모형실험에 의한 사질토에 근입된 말뚝지지 기초의 응답 스펙트럼 분석)

  • Park, Yong-Boo;Park, Jong-Bae;Kim, Sang-Yeon;Kim, Dong-Soo
    • Land and Housing Review
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    • v.5 no.1
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    • pp.35-40
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    • 2014
  • Site coefficient and amplification factor of current domestic Seismic Design Code (KBC-2009) have no consideration for the domestic ground condition in which the base rock is normally placed within 30m form the surface. Accordingly, in this study dynamic centrifugal test and analysis for pile foundation into sand and upper structure were achieved. and the response spectrums of free surface and basement were compared with each other. Within the period 1 sec., the measured spectral acceleration of free surface and basement was bigger than the design spectral acceleration of SC and SD site. However the measured spectral acceleration of free surface and basement for the period over 1.5 sec. was smaller than the design spectral acceleration of SC site. There was no severe difference of spectral acceleration according to the upper structure, embedded depth of foundation and free surface conditions. Consequently, normal domestic apartment housing for the period range over 1.5sec. could be design more economically applying these test result.

Variation of Moving Dynamic Vehicle Loads According to Surface Smoothness of Pavement Systems (도로포장 표면평탄성에 따른 주행차량의 동적 하중 변화 특성)

  • Kim, Seong-Min;Rhee, Suk-Keun
    • International Journal of Highway Engineering
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    • v.10 no.1
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    • pp.135-144
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    • 2008
  • The dynamic loads imposed by moving vehicles have variations in the magnitude due to the surface roughness of the pavement systems and the larger dynamic loads than the design loads may affect the pavement performance. This paper presents variations of the moving dynamic vehicle loads due to the pavement surface roughness. This study was performed as a basic study to apply the pay factor to the surface roughness for the improvement of pavement quality and performance. The profile data was obtained from the old and new pavements and the analysis was performed to investigate the dynamic loads when vehicles move on the pavements having those profiles. The artificial profiles were also developed to find the effects of the vehicle speed, wavelength and amplitude of the surface roughness on the dynamic vehicle loads. The increase in the load magnitude due to the surface roughness affects the stresses and strains of pavements and finally reduces the pavement life. The methodology to obtain the relationship between the surface roughness and the pavement performance was proposed in this study.

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Optimum Design of Head Slider with Ultra-Thin Air-Lubricated Spacing for Enhanced Flying Characteristics (부상특성 향상을 위한 극소 공기윤활막을 지닌 헤드 슬라이더의 형상 최적 설계)

  • Gang, Tae-Sik;Choe, Dong-Hun;Jeong, Tae-Geon;Park, No-Yeol;Lee, Seong-Chang
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.25 no.4
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    • pp.725-733
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    • 2001
  • Flying attitudes of the slider, which are flying height, pitch and roll, are affected by the air flow velocity, the skew angle, and the manufacturing tolerances. Traditional designs of the air bearing surface have considered only the flying performances for the variations in the air flow velocity and the skew angle, which are determined by the radial position. In this study, we present the new shape design of the air bearing surface by considering the track seek performance and the air bearing stiffness as well as the traditional design requirements. The optimization technique is used to improve the dynamic characteristics and operating performance of the newly proposed air bearing surface shape design further. The optimized configuration is obtained automatically and the optimally designed sliders show the enhanced flying and dynamic characteristics.

A Design of Air-Lubricated Slider Bearings for Improving the Flying Stability in Track Seek and Increasing the Air-Bearing Stiffness (트랙탐색 안정성과 베어링 강성 향상을 위한 공기윤활 슬라이더 베어링의 최적설계)

  • Kang, Tae-Sik;Park, No-Yeol;Lee, Sung-Chang;Choi, Dong-Hoon;Jeong, Tae-Gun
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2000.06a
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    • pp.1561-1569
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    • 2000
  • Flying attitudes of the slider, which are flying height, pitch and roll, are affected by the air flow velocity, the skew angle, and the manufacturing tolerances. Traditional designs of the air bearing surface have considered only the flying performances for the variations in the air flow velocity and the skew angle, which are determined by the radial position. In this study, we present the new shape design of the air bearing surface by considering the track seek performance and the air bearing stiffness as well as the traditional design requirements. The optimization technique is used to improve the dynamic characteristics and operating performance of the newly proposed air bearing surface shape design further. The optimized configuration is obtained automatically and the optimally designed sliders show the enhanced flying and dynamic characteristics.

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Dynamic response of middle slab in double-deck tunnel due to vehicle load (차량하중에 의한 복층터널 중간슬래브의 동적 응답)

  • Kim, Hyo-Beom;Kwak, Chang-Won;Park, Inn-Joon
    • Journal of Korean Tunnelling and Underground Space Association
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    • v.19 no.5
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    • pp.717-732
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    • 2017
  • Recently, the construction of underground structure such as a double-deck tunnel is increasing to manage rapid growth of roadway traffic volume. Double-deck tunnel includes middle slab to separate upper and lower road inside, and various sources affect the dynamic behaviour of middle slab due to dynamic loading of vehicle. Therefore, it is important to investigate the dynamic response of middle slab precisely to apply it to design and analysis of double-deck tunnel. In this study, dynamic analysis model of middle slab considering structural type, design velocity, vehicle load, and surface roughness, etc. is built. 3-dimensional dynamic analysis is performed to assess dynamic response of middle slab. Consequently, Dynamic Magnification Factor which represents dynamic response of middle slab shows maximum in case of elastomeric bearings (EB) and average roughness (Grade C). It is also expected that dynamic response can be reduced under the condition of good roughness (Grade B) and fixed bearings (FB).