• Computers and Concrete
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• 제32권1호
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• pp.61-74
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• 2023

This article investigates the wave propagation analysis of the imperfect functionally graded (FG) sandwich plates based on a novel simple four-variable integral quasi-3D higher-order shear deformation theory (HSDT). The thickness stretching effect is considered in the transverse displacement component. The presented formulation ensures a parabolic variation of the transverse shear stresses with zero-stresses at the top and the bottom surfaces without requiring any shear correction factors. The studied sandwich plates can be used in several sectors as areas of aircraft, construction, naval/marine, aerospace and wind energy systems, the sandwich structure is composed from three layers (two FG face sheets and isotropic core). The material properties in the FG faces sheet are computed according to a modified power law function with considering the porosity which may appear during the manufacturing process in the form of micro-voids in the layer body. The Hamilton principle is utilized to determine the four governing differential equations for wave propagation in FG plates which is reduced in terms of computation time and cost compared to the other conventional quasi-3D models. An eigenvalue equation is formulated for the analytical solution using a generalized displacements' solution form for wave propagation. The effects of porosity, temperature, moisture concentration, core thickness, and the material exponent on the plates' dispersion relations are examined by considering the thickness stretching influence.

• Structural Engineering and Mechanics
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• 제84권3호
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• pp.295-310
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• 2022

This paper proposes a modified bar simulation method for analyzing the shear lag effect of variable sectional box girder with multiple cells. This theoretical method formulates the equivalent area of stiffening bars and the allocation proportion of shear flows in webs, and re-derives the governing differential equations of bar simulation method. The feasibility of the proposed method is verified by the model test and finite element (FE) analysis of a simply supported multi-cell box girder with constant depth. Subsequently, parametric analysis is conducted to explore the mechanism of shear lag effect of varied sectional cantilever box girder with multiple cells. Results show that the shear lag behavior of variable box-section cantilever box girder is weaker than that of box girder with constant section. It is recommended to make the gradient of shear flow in the web with respect to span length vary as smoothly as possible for eliminating the shear lag effect of box girder. An effective countermeasure for diminishing shear lag effect is to increase the number of box chambers or change the variation manner of bridge depth. The shear lag effect of varied sectional cantilever box girder will get more server when the length of central flanges is shorter than 0.26 or longer than 0.36 times of total width of top flange, as well as the cantilever length exceeds 0.29 times of total length of box's flange. Therefore, the distance between central webs can adjust the shear lag effect of box girder. Especially, the width ratio of cantilever plate with respect to total length of top flange is proposed to be no more 1/3.

• Structural Engineering and Mechanics
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• 제88권4호
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• pp.389-403
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• 2023

In order to explore the influence of tooth root cracks on the dynamic characteristics of multi-stage planetary gear transmission systems, a concentrated parameter method was used to construct a nonlinear dynamic model of the system with 30-DOF in bending and torsion, taking into account factors such as crack depth, length, angle, error, time-varying meshing stiffness (TVMS), and damping. In the model, the energy method was used to establish a TVMS model with cracks, and the influence of cracks on the TVMS of the system was studied. By using the Runge- Kutta method to calculate the differential equations of system dynamics, a series of system vibration diagrams containing cracks were obtained, and the influence of different crack parameters on the vibration of the system was analyzed. And vibration testing experiments were conducted on the system with planetary gear cracks. The results show that when the gear contains cracks, the TVMS of the system will decrease, and as the cracks intensify, the TVMS will decrease. When cracks appear on the II-stage planetary gear, the system will experience impact effects with intervals of rotation cycles of the II-stage planetary gear. There will be obvious sidebands near the meshing frequency doubling, and the vibration trajectory of the gear will also become disordered. These situations will become more and more obvious as the degree of cracks intensifies. Through experiments, the theoretical results are in good agreement with experimental results, verifying the correctness of the theoretical model. This provides a theoretical basis for fault diagnosis and reliability research of the system.

• Steel and Composite Structures
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• 제50권3호
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• pp.299-318
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• 2024

The main objective of this paper is to compute the far-field acoustic radiation (sound radiation) of functionally graded plates (FGM) loaded by sinusoidally varying point load subjected to the arbitrary boundary condition is carried out. The governing differential equations for thin functionally graded plates (FGM) are derived using classical plate theory (CPT) and Rayleigh integral using the elemental radiator approach. Four cases, segregated on power-law index k=0,1,5,10, are studied. A novel approach is illustrated to compute sound fields of vibrating FGM plates using the physical neutral surface with an elemental radiator approach. The material properties of the FGM plate for all cases are calculated considering the power law indexes. An in-house MATLAB code is written to compute the natural frequencies, normal surface velocities, and sound radiation fields are analytically calculated using semi-analytical formulation. Ansys is used to validate the computed sound power level. The parametric effects of the power law index, modulus ratios, different constituent of FGM plates, boundary conditions, damping loss factor on the sound power level, and radiation efficiency is illustrated. This work is the benchmark approach that clearly explains how to calculate acoustic fields using a solid layered FGM model in ANSYS ACT. It shows that it is possible to asymptotically stabilize the structure by controlling the intermittent layers' stiffness. It is found that sound fields radiated by the elemental radiators approach in MATLAB, ANSYS and literatures are in good agreement. The main novelty of this research is that the FGM plate is analyzed in the low-frequency range, where the stiffness-controlled region governs the whole analysis. It is concluded that a clamped mono-ceramic FGM plate radiates a lesser sound power level and higher radiation efficiency than a mono-metallic or metal-rich FGM plate due to higher stiffness. It is found that change in damping loss factor does not affect the same constituents of FGM plates but has significant effects on the different constituents of FGM plates.

• Structural Engineering and Mechanics
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• 제90권4호
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• pp.325-343
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• 2024

Triple-tower double-cable suspension bridges have increased confinement stiffness imposed by the main cable on the middle tower, which has bright application prospects. However, vertical bending and torsional vibrations of the double-cable and the girder are coupled in such bridges due to the hangers. In particular, the bending vibration of the towers in the longitudinal direction and torsional vibrations about the vertical axis influence the vertical bending and torsional vibrations of the stiffening girders, respectively. The conventional analytical algorithm for assessing the dynamic features of the suspension bridge is not directly applicable to this type of bridge. This study attempts to mitigate this problem by introducing an analytical algorithm for solving the triple-tower double-cable suspension bridge's natural frequencies and mode shapes. D'Alembert's principle is employed to construct the differential equations of the vertical bending and torsional vibrations of the stiffening girder continuum in each span. Vibrations of stiffening girders in each span are interrelated via the vibrations of the main cables and the bridge towers. On this basis, the natural frequencies and mode shapes are derived by separating variables. The proposed algorithm is then applied to an engineering example. The natural frequencies and mode shapes of vertical bending and torsional vibrations derived by the analytical algorithm agreed well with calculations via the finite element method. The fundamental frequency of vertical bending and first- and second-order torsion frequencies of double-cable suspension bridges are much higher than those of single-cable suspension bridges. The analytical algorithm has high computational efficiency and calculation accuracy, which can provide a reference for selecting appropriate structural parameters to meet the requirements of dynamics during the preliminary design.

• Advances in nano research
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• 제16권3호
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• pp.289-301
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• 2024

In this work, an analytical model employing a new higher-order shear deformation beam theory is utilized to investigate the bending behavior of axially randomly oriented functionally graded carbon nanotubes reinforced composite nanobeams. A modified continuum nonlocal strain gradient theory is employed to incorporate both microstructural effects and geometric nano-scale length scales. The extended rule of mixture, along with molecular dynamics simulations, is used to assess the equivalent mechanical properties of functionally graded carbon nanotubes reinforced composite (FG-CNTRC) beams. Carbon nanotube reinforcements are randomly distributed axially along the length of the beam. The equilibrium equations, accompanied by nonclassical boundary conditions, are formulated, and Navier's procedure is used to solve the resulting differential equation, yielding the response of the nanobeam under various mechanical loadings, including uniform, linear, and sinusoidal loads. Numerical analysis is conducted to examine the influence of inhomogeneity parameters, geometric parameters, types of loading, as well as nonlocal and length scale parameters on the deflections and stresses of axially functionally graded carbon nanotubes reinforced composite (AFG CNTRC) nanobeams. The results indicate that, in contrast to the nonlocal parameter, the beam stiffness is increased by both the CNTs volume fraction and the length-scale parameter. The presented model is applicable for designing and analyzing microelectromechanical systems (MEMS) and nanoelectromechanical systems (NEMS) constructed from carbon nanotubes reinforced composite nanobeams.

• 한국구조물진단유지관리공학회 논문집
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• 제13권1호통권53호
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• pp.125-134
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• 2009

이 논문은 직시각형 단면을 갖는 원호형 등단면 띠기초의 자유진동에 관한 연구이다. 띠기초를 지지하는 지반을 두 변수 탄성지반으로 모형화하였다. 두 변수 탄성지반으로 지지된 원호형 띠기초의 휨-비틀림 자유 진동을 지배하는 미분방정식을 유도하고 이를 수치해석하여 고유진동수 및 진동형을 산정하였다. 띠기초의 경계조건은 자유-자유로 하여 최저저차 4개의 고유진동수를 산정하였다. 수치해석의 결과로, 중심각, 깊이비, 접촉비, 탄성계수비, 지반변수 등 5개의 변수가 고유진동수에 미치는 영향을 보고하였다. 변위 및 합응력의 진동형을 그림으로 나타내었다. 실험을 통하여 이 연구의 결과를 검증하였다.

• Steel and Composite Structures
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• 제52권3호
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• pp.343-356
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• 2024

This paper presents an analytical solution for correctly predicting the Lateral-Torsional Buckling critical moment of simply supported castellated beams, the solution covers uniformly distributed loads combined with compressive loads. For this purpose, the castellated beam section with hexagonal-type perforation is treated as an arrangement of double "T" sections, composed of an upper T section and a lower T section. The castellated beam with regular openings is considered as a periodic repeating structure of unit cells. According to the kinematic model, the energy principle is applied in the context of geometric nonlinearity and the linear elastic behavior of materials. The differential equilibrium equations are established using Galerkin's method and the tangential stiffness matrix is calculated to determine the critical lateral torsional buckling loads. A Finite Element simulation using ABAQUS software is performed to verify the accuracy of the suggested analytical solution, each castellated beam is modelled with appropriate sizes meshes by thin shell elements S8R, the chosen element has 8 nodes and six degrees of freedom per node, including five integration points through the thickness, the Lanczos eigen-solver of ABAQUS was used to conduct elastic buckling analysis. It has been demonstrated that the proposed analytical solution results are in good agreement with those of the finite element method. A parametric study involving geometric and mechanical parameters is carried out, the intensity of the compressive load is also included. In comparison with the linear solution, it has been found that the linear stability underestimates the lateral buckling resistance. It has been confirmed that when high axial loads are applied, an impressive reduction in critical loads has been observed. It can be concluded that the obtained analytical solution is efficient and simple, and offers a rapid and direct method for estimating the lateral torsional buckling critical moment of simply supported castellated beams.

• 수산해양기술연구
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• 제40권1호
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• pp.29-36
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• 2004

선망의 침강 저항 특성을 해명하기 위한 기초 연구로서, 망지의 재료가 다르고 침자량이 동일한 선망 모형의 침강특성을 해석하였다. 실험에 사용한 선망은, 그물실의 직경 및 발의 길이가 같은 폴리프로피렌系 (밀도 0.91g/cm$cm^3$), 폴리아미드系 (밀도 1.14g/cm$cm^3$) 및 폴리에스터系 (밀도 1.38g/cm$cm^3$)의 매듭 없는 망지를 사용하여, 뜸줄의 길이 420cm, 그물의 폭 86cm가 되도록 제작하였다. 이 그물들의 발줄에 침자를 25g, 45g, 60g 의 3 단계로 바꾸어 9종류의 모형그물을 만들고, 각각 PP-25, PA-25, PES-25, PP-45, PA-45, PES-45, PP-60, PA-60 및 PES-60그물이라고 이름을 붙였다. 회류수조의 수로 위에 투망장치를 설치해서 정지 상태의 수중에 투망하고, 관측부 전면에 설치한 비디오 카메라를 이용하여 촬영 녹화하였다. 그리고, 그물에 표시한 측정점의 좌표를 화상해석장치로 읽고 실험치를 구하였다. 여기서, 선망의 수직방향의 침강운동을 나타낸 이론식을 이용하여 수치해석을 행하였는데, 그 결과는 다음과 같다. 1. 침자량이 60g일 때, 아랫자락의 평균 침강속도는 PES그물 12.2 cm/sec로 가장 빠르고, PA그물 11.4 cm/sec, PP 그물 10.7cm/sec 순으로 늦게 나타났다. 2. 망지의 저항계수 $K_D$는, 계산결과 $K_D=0.09(\frac{\rho}{\rho_w})^4$의 관계식으로 나타낼 수 있었다. 3. 그물다발의 저항계수 $C_R$은, 계산결과 $C_R=0.91(\frac{\rho}{\rho_w})$의 관계식으로 나타낼 수 있었다. 4. 선망 투망후 경과시간에 따른 그물 아랫자락의 도달수심에 대한 실험치와 계산치의 관계는 상관성이 매우 높아, 침자량이 25g일 때 meas.=1.04 cal., 45g일 때 meas.=0.99cal.였으며, 60g일 때 meas.=0.98cal.의 관계를 나타냈다.

• 대한기계학회논문집A
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• 제34권5호
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• pp.619-628
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• 2010

차세대 의료기기 시장을 변화시킬 것으로 기대되는 형상기억합금(SMA) 기반의 최소침습용 의료기기는 시술자의 손동작과 같은 유연성과 섬세함을 구현할 수 있는 장점이 있다. 그러나 SMA의 비선형 열전기적 특성으로 인해 SMA 기반 차세대 의료기기 엑추에이터는 자유로운 방향조종 구현이 제한적이고 상용화에 있어서 큰 한계성으로 작용한다. 본 논문은 SMA의 효과적인 온도제어를 위해 전류-온도간의 개방루프 계단응답을 분석하고 1차 미분방정식 해와 비교하여 온도제어에 필요한 파라미터 $t_1$을 도출한 뒤 실험적으로 그 기능을 검증하였다. 또한 $t_1$은 전류를 입력으로 온도를 출력으로 하는 시불변 선형계의 특성함수의 폴(pole)이므로 주파수에 의한 온도제어에 관계된 파라미터인 것으로 나타났다. 본 논문의 결과는 SAM 기반의 차세대 의료기기 액추에이터의 효과적인 위치제어 설계에 응용될 수 있다.