• 제목/요약/키워드: System of Linear Equations

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4절 링크 기구의 동적 변형 해석 (I) 유한 요소 해석 및 수치해 (Analysis of Dynamic Deformation of 4-Bar Linkage Mechanism (1) Finite Element Analysis and Numerical Solution)

  • 조선휘;박종근;이진
    • 대한기계학회논문집
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    • 제16권4호
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    • pp.737-752
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    • 1992
  • 본 연구에서는 링크를 여러개의 2절점 6자유도의 보 요소로 이상화하고 링크 의 운동을 평면 운동으로 한정하며 링크의 지지부의 강성은 무한대이고 회전 대우 부 분의 간극은 없는 것으로 가정하여 링크의 탄성 변형에 관한 운동 반정식을 유도하였 다. 즉, 변위법에 기초한 정적 변위 해석에 관한 유한 요소법에서 관성력, 중력 그 리고 외력을 외부 부하로 간주하여 동적인 운동 방정식을 유도하였다. 여기에, 회전 대우의 베어링을 선형 스프링으로 이상화하여 유연성 링크의 일부분으로 고려함으로써 베어링의 탄성 변형이 유연성 링크의 동적 변형에 미치는 영향에 대하여 고찰하였다. 베어링의 탄성 변형이 고려된 유연성 링크에 관한 운동 방정식을 모우드 중첩법에 근 거를 둔 수치해법으로 그 해를 구하였다.

Forced vibrations of an elastic rectangular plate supported by a unilateral two-parameter foundation via the Chebyshev polynomials expansion

  • Zekai Celep;Zeki Ozcan
    • Structural Engineering and Mechanics
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    • 제90권6호
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    • pp.551-568
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    • 2024
  • The present study deals with static and dynamic behaviors including forced vibrations of an elastic rectangular nano plate on the two-parameter foundation. Firstly, the rectangular plate is assumed to be subjected to uniformly distributed and eccentrically applied concentrated loads. The governing equations of the problem are derived by considering the dynamic response of the plate, employing a series of the Chebyshev polynomials for the displacement function and applying the Galerkin method. Then, effects of the non-essential boundary conditions of the plate, i.e., the boundary conditions related to the shearing forces, the bending moments and the corner forces, are included in the governing equation of motion to compensate for the non-satisfied boundary conditions and increase the accuracy of the Galerkin method. The approximate numerical solution is accomplished using an iterative process due to the non-linearity of the unilateral property of the two-parameter foundation. The plate under static concentrated load is investigated in detail numerically by considering a wide range of parameters of the plate and the foundation stiffnesses. Numerical treatment of the problem in the time domain is carried out by assuming a stepwise variation of the concentrated load and the linear acceleration procedure is employed in the solution of the system of governing differential equations derived from the equation of motion. Time variations of the contact region and those of the displacements of the plate are presented in the figures for various numbers of the two-parameter of the foundation, as well as the classical and nano parameters of the plate particularly focusing on the non-linearity of the problem due to the plate lift-off from the unilateral foundation. The effects of classical and nonlocal parameters and loading are investigated in detail. Definition of the separation between the plate and the two-parameter foundation is presented and applied to the given problem. The effect of the lift-off on the static and dynamic behavior of the rectangular plate is studied in detail by considering various loading conditions. The numerical study shows that the effect of nonlocal parameters on the behavior of the plate becomes significant, when nonlinearity becomes more profound, due to the lift-off of the plate. It is seen that the size effects are significant in static and dynamic analysis of nano-scaled rectangular plates and need to be included in the mechanical analyses. Furthermore, the corner displacement of the plate is affected more significantly from the lift-off, whereas it is less marked in the time variation of the middle displacement of the plate. Several numerical examples are presented to examine the sensibility of various parameters associated with nonlocal parameters of the plate and foundation. Both stiffening and softening nonlocal parameters behavior of the plate are identified in the numerical solutions which show that increasing the foundation stiffness decreases the extent of the contact region, whereas the stiffness of the shear layer increases the contact region and reduces the foundation settlement considerably.

Test strip과 chlorophyll meter를 이용한 토마토의 신속한 영양진단 (Rapid Nutrient Diagnosis of Tomato by Test Strips and a Chlorophyll Meter)

  • 김권래;정한울;김계훈
    • Applied Biological Chemistry
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    • 제46권2호
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    • pp.140-143
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    • 2003
  • 본 연구는 지금까지 제시된 여러 가지 간이 식물영양 진단 방법들 중 test strip과 chlorophyll meter의 이용가능성을 검토하고 실제 이용 방안을 모색하고자 수행되었다. 본 실험에서는 양액의 N, P, K수준을 달리하여 토마토를 재배하면서 생육시기별로 specific color difference sensor value (SCDSV), 엽병 즙액 중 $NO_3,\;PO_4,\;K$의 함량을 측정하였다. 실험 결과 양액중 N, P, K의 농도 변화에 따른 엽병 즙액 중 $NO_3,\;PO_4,\;K$ 함량 변화가 엽 중 total-N, E, K함량의 변화보다 더 민감하였다. Test strip을 이용하여 측정한 토마토 엽병 즙액 중 $NO_3,\;PO_4,\;K$ 함량은 엽 내 total-N, E, K의 농도와 고도의 일차상관관계를 나타내었다. 지금까지 여러 연구를 통해 확립된 토마토의 엽 중 total-N, E, K의 적정 함량을 희귀식에 대입하여 구한 즙액의 적정 $NO_3,\;PO_4,\;K$의 함량은 각각 3.4-5.9, 0.3-0.5, 3.6-6.5 g/l였다.. Chlorophyll meter를 이용하여 측정한 SCDSV는 엽 중 total-N와 높은 상관관계를 나타내었으며 기존에 연구된 토마토의 엽 중 total-N 함량을 희귀식에 대입하여 계산한 결과 적정 SCDSV는 36.0-40.0이었다. 본 연구 결과 test strip과 chlorophyll meter는 토마토의 신속한 영양 진단에 이용할 수 있을 것으로 판단된다.

Test Strip과 Chlorophyll Meter를 이용한 오이의 신속한 영양진단 (Rapid Nutrient Diagnosis of Cucumber by Test Strip and Chlorophyll Meter)

  • 김권래;김계훈
    • 한국토양비료학회지
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    • 제36권5호
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    • pp.272-279
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    • 2003
  • 본 연구는 지금까지 제시된 여러 가지 간이 영양 진단 방법들 중 test strip과 chlorophyll meter를 이용하여 오이의 영양상태를 신속하게 파악하기 위한 방안을 모색하고자 시행하였다. 본 실험에서는 양액에 공급하는 N, P, K 수준을 달리하여 오이를 재배하면서 생육시기별로 specific color difference sensor value (SCDSV), 엽병의 즙액 내 $NO_3$, $PO_4$, K의 함량을 측정하였다. 실험 결과 양액 중 N, P, K의 농도변화에 따른 엽병 중 $NO_3$, $PO_4$, K 함량 변화가 엽 내 total-N, P, K 함량의 변화보다 더 민감하였다. Test strip을 이용하여 구한 오이 엽병 즙액 내 $NO_3$, $PO_4$, K 함량은 엽 내 total-N, P, K의 농도와 고도의 일차상관관계를 나타내었다. 따라서 지금까지 여러 연구를 통해 확립된 오이의 엽 내 total-N, P, K의 적정함량을 회귀식에 대입하여 즙액 $NO_3$, $PO_4$, K의 적정함량을 계산하였다. 오이 즙액의 적정 $NO_3$, $PO_4$, K 범위는 각각 5.4-9.1, 0.2-0.5, $3.1-4.8g\;L^{-1}$였다. Chlorophyll meter를 이용하여 측정한 SCDSV는 엽 내 total-N와 높은 상관관계를 나타내었으며 기존에 연구된 오이의 엽 내 total-N 함량을 회귀식에 대입하여 계산한 결과 적정 SCDSV는 39.5-49.0이었다. 본 연구 결과 test strip과 chlorophyll meter는 오이의 신속한 영양 진단에 이용할 수 있을 것으로 판단된다.

차세대 주력전차의 개념설계를 위한 동시공학의 적용 (Application of Concurrent Engineering for Conceptual design of a Future Main Battle Tank)

  • 김진우;소한균
    • 한국군사과학기술학회지
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    • 제2권1호
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    • pp.38-60
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    • 1999
  • The main objective of this study is systemization of the technique of ROC quantification and optimization of baseline design by applying CE principle to the acquisition process of a weapon system. QFD and TOA techniques can be employed to a good working example of the conceptual design of a future main battle tank. In this paper, Product Planning Phase, the first phase of four QFD phases, is deployed in terms of eight steps including customer requirements and final product control characteristics. TOA is carried out considering only combat weight. In order to perform combat weight analysis and performance TOA, Preliminary Configuration Synthesis Methodology is used. Preliminary Configuration Synthesis Methodology employs the method of least squares and described linear equations of weight interrelation equation for each component of tank. As a result of QFD based upon the ROC, it was cleared that armor piercing power, main armament, type of ammunition, cruising range, combat weight, armor protection, power loading, threat detection and cost are primary factors influencing design and that combat weight is the most dominant one. The results of TOA based on the combat weight constraint show that 5100 lb reduction was required to satisfy the ROC. The baseline design of a future main battle tank is illustrated with assumption that all phases of QFD are employed to development and production process of subsystems, components, and parts of main battle tank. TOA is applied in iterative process between initial baseline design and ROC. The detailed design of each component is illustrated for a future main battle tank.

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Buckling and free vibration analysis of tapered FG- CNTRC micro Reddy beam under longitudinal magnetic field using FEM

  • Mohammadimehr, M.;Alimirzaei, S.
    • Smart Structures and Systems
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    • 제19권3호
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    • pp.309-322
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    • 2017
  • In this paper, the buckling, and free vibration analysis of tapered functionally graded carbon nanotube reinforced composite (FG-CNTRC) micro Reddy beam under longitudinal magnetic field using finite element method (FEM) is investigated. It is noted that the material properties of matrix is considered as Poly methyl methacrylate (PMMA). Using Hamilton's principle, the governing equations of motion are derived by applying a modified strain gradient theory and the rule of mixture approach for micro-composite beam. Micro-composite beam are subjected to longitudinal magnetic field. Then, using the FEM, the critical buckling load, and natural frequency of micro-composite Reddy beam is solved. Also, the influences of various parameters including ${\alpha}$ and ${\beta}$ (the constant coefficients to control the thickness), three material length scale parameters, aspect ratio, different boundary conditions, and various distributions of CNT such as uniform distribution (UD), unsymmetrical functionally graded distribution of CNT (USFG) and symmetrically linear distribution of CNT (SFG) on the critical buckling load and non-dimensional natural frequency are obtained. It can be seen that the non-dimensional natural frequency and critical buckling load decreases with increasing of ${\beta}$ for UD, USFG and SFG micro-composite beam and vice versa for ${\alpha}$. Also, it is shown that at the specified value of ${\alpha}$ and ${\beta}$, the dimensionless natural frequency and critical buckling load for SGT beam is more than for the other state. Moreover, it can be observed from the results that employing magnetic field in longitudinal direction of the micro-composite beam increases the natural frequency and critical buckling load. On the other hands, by increasing the imposed magnetic field significantly increases the stability of the system that can behave as an actuator.

Mechanical and thermal stability investigation of functionally graded plates resting on visco-Pasternak foundation

  • Samira Hassiba Tagrara;Mohamed Mehdi hamri;Mahmoud Mohamed Selim Saleh;Mofareh Hassan Ghazwani;Abdelbaki Chikh;Abdelmoumen Anis Bousahla;Abdelhakim Kaci;Fouad Bourada;Abdelouahed Tounsi
    • Steel and Composite Structures
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    • 제46권6호
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    • pp.839-856
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    • 2023
  • This work presents a simple four-unknown refined integral plate theory for mechanical and thermal buckling behaviors of functionally graded (FG) plates resting on Visco-Pasternak foundations. The proposed refined high order shear deformation theory has a new displacement field which includes indeterminate integral variables and contains only four unknowns in which any shear correction factor not used, with even less than the conventional theory of first shear strain (FSDT). Governing equations are deduced from the principle of minimum total potential energy and a Navier type analytical solution is adopted for simply supported FG plates. The Visco-Pasternak foundations is considered by adding the impact of damping to the usual foundation model which characterized by the linear Winkler's modulus and Pasternak's foundation modulus. The accuracy of the present model is demonstrated by comparing the computed results with those available in the literature. Some numerical results are presented to show the impact of material index, elastic foundation type, and damping coefficient of the foundation, on the mechanical and thermal buckling behaviors of FG plates.

에어 스테이지의 동적 특성에 미치는 가속도 및 감속도의 영향 (Effect of the Acceleration and Deceleration on the Dynamic Characteristics of an Air Stage)

  • 박상준;이재혁;박상신;김규하
    • Tribology and Lubricants
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    • 제36권1호
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    • pp.39-46
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    • 2020
  • Air stages are usually applied to precision engineering in sectors such as the semiconductor industry owing to their excellent performance and extremely low friction. Since the productivity of a semiconductor depends on the acceleration and deceleration performance of the air stage, many attempts have been made to improve the speed of the stage. Even during sudden start or stop sequences, the stage should maintain an air film to avoid direct contact between pad and the rail. The purpose of this study is to quantitatively predict the dynamic behavior of the air stage when acceleration and deceleration occur. The air stage is composed of two parts; the stage and the guide-way. The stage transports objects to the guideway, which is supported by an externally pressurized gas bearing. In this study, we use COMSOL Multiphysics to calculate the pressure of the air film between the stage and the guide-way and solve the two-degree-of-freedom equations of motion of the stage. Based on the specified velocity conditions such as the acceleration time and the maximum velocity of stage, we calculate the eccentricity and tilting angle of the stage. The result shows that the stiffness and damping of the gas bearing have non-linear characteristics. Hence, we should consider the operating conditions in the design process of an air stage system because the dynamic behavior of the stage becomes unstable depending on the maximum velocity and the acceleration time.

Summer season temperature-humidity index threshold for infrared thermography in Hanwoo (Bos taurus coreanae) heifers

  • Kim, Na Yeon;Moon, Sang Ho;Kim, Seong Jin;Kim, Eun Kyung;Oh, Mirae;Tang, Yujiao;Jang, Se Young
    • Asian-Australasian Journal of Animal Sciences
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    • 제33권10호
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    • pp.1691-1698
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    • 2020
  • Objective: The study sought to estimate the relationship between body surface temperature (BST) and temperature humidity index (THI) and to present the validity of THI as a heat stress index in the field. Methods: Eight Hanwoo heifers (20 to 32 month) were examined in a field trial, with a space allowance of 10 ㎡ per head. The BST was measured using an infrared thermographic camera. The BST of five body regions (eyes, hindquarters, nose, part of horns, and ears), ambient temperature (AT), and relative humidity (RH) were measured 7 times daily (07, 09, 11, 13, 15, 17, and 19 h) during each season with three replicates. Results: The THI ranged 34.0 to 56.9 during spring (AT, -1.0℃ to 13.4℃), 75.1 to 84.7 during summer (AT, 24.9℃ to 33.6℃), 55.8 to 70.9 during autumn (AT, 13.0℃ to 26.0℃) and 17.5 to 39.2 during winter (AT, -10.4℃ to 1.0℃). In the regression analysis, the coefficient of determination (R2) between THI and BST was 0.88, 0.72, 0.83, 0.86, and 0.85 for the eyes, hindquarters, nose, part of horn, and ears area, respectively. This indicates that BST has a strong correlation with AT and RH. Expression equations were estimated as Y (THI) = 31.54+0.1085X (BST of eyes) and Y (THI) = 30.48+0.1147X (BST of hindquarters) by simple linear regression analysis in this experiment. Conclusion: Consequently, the upper bound for heat stress estimation can be specified ranging from THI of 65 (eyes) to 70 (hindquarters). From this we can expect a precise feeding system for Korean native cattle in the field.

Experimental and numerical study on coupled motion responses of a floating crane vessel and a lifted subsea manifold in deep water

  • Nam, B.W.;Kim, N.W.;Hong, S.Y.
    • International Journal of Naval Architecture and Ocean Engineering
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    • 제9권5호
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    • pp.552-567
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    • 2017
  • The floating crane vessel in waves gives rise to the motion of the lifted object which is connected to the hoisting wire. The dynamic tension induced by the lifted object also affects the motion responses of the floating crane vessel in return. In this study, coupled motion responses of a floating crane vessel and a lifted subsea manifold during deep-water installation operations were investigated by both experiments and numerical calculations. A series of model tests for the deep-water lifting operation were performed at Ocean Engineering Basin of KRISO. For the model test, the vessel with a crane control system and a typical subsea manifold were examined. To validate the experimental results, a frequency-domain motion analysis method is applied. The coupled motion equations of the crane vessel and the lifted object are solved in the frequency domain with an additional linear stiffness matrix due to the hoisting wire. The hydrodynamic coefficients of the lifted object, which is a significant factor to affect the coupled dynamics, are estimated based on the perforation value of the structure and the CFD results. The discussions were made on three main points. First, the motion characteristics of the lifted object as well as the crane vessel were studied by comparing the calculation results. Second, the dynamic tension of the hoisting wire were evaluated under the various wave conditions. Final discussion was made on the effect of passive heave compensator on the motion and tension responses.