• Structural Engineering and Mechanics
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• 제68권6호
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• pp.639-646
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• 2018

The aim of the present paper deals with free vibration analysis of laminated composite skew plates with single and multiple cut-outs. For complete understanding of the dynamic behavior of laminated skew plates with cut-out a numerical analysis has been carried out by developing a computer code in FOTRAN. Special attention is drawn on the formulation of mass matrix by considering effect of rotary inertia. The results obtained by the finite element formulation using nine noded isoparametric plate bending element are validated by comparing the results from relevant published literature. Few new results on laminated skew plates with cut-out have been presented.

• Computers and Concrete
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• 제23권5호
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• pp.361-376
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• 2019

In this research, bending analysis of a micro sandwich skew plate with isotropic core and piezoelectric composite face sheets reinforced by carbon nanotube on the elastic foundations are studied. The classical plate theory (CPT) are used to model micro sandwich skew plate and to apply size dependent effects based on modified strain gradient theory. Eshelby-Mori-Tanaka approach is considered for the effective mechanical properties of the nanocomposite face sheets. The governing equations of equilibrium are derived using minimum principle of total potential energy and then solved by extended Kantorovich method (EKM). The effects of width to thickness ratio and length to width of the sandwich plate, core-to-face sheet thickness ratio, the material length scale parameters, volume fraction of CNT, the angle of skew plate, different boundary conditions and types of cores on the deflection of micro sandwich skew plate are investigated. One of the most important results is the reduction of the deflection by increasing the angle of the micro sandwich skew plate and decreasing the deflection by decreasing the thickness of the structural core. The results of this research can be used in modern construction in the form of reinforced slabs or stiffened plates and also used in construction of bridges, the wing of airplane.

• Structural Engineering and Mechanics
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• 제70권1호
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• pp.125-131
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• 2019

A nine node isoparametric plate bending element is used for bending analysis of laminated composite skew cylindrical shell panels. Both thick and thin shell panels are solved. Rotary inertia and shear deformation are incorporated by considering first order shear deformation theory. The analysis is performed considering shallow shell theory. Both shallow and moderately deep skew cylindrical shells are investigated. Skew cylindrical shell panels having different thickness ratios (h/a), radius to length ratios (R/a), ply angle orientations, number of layers, aspect ratio (b/a), boundary conditions and various loading (concentrated, uniformly distributed, linear varying and doubly sinusoidal varying) conditions are analysed. Various new results are presented.

• 한국농공학회지
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• 제28권4호
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• pp.49-56
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• 1986

This study was carried out to investigate mechanical characteristics of the uniformly loaded skew-plate at 4 kinds of boundary condition : i) all edges are clamped (BC-1) , ii) all edges are simply supported (BC- 2), iii) two opposite edges are clamped and the other two edges are free (BC-3), and iv )two opposite edges are simply supported and the other two edges are free (BC-4). Various skew angles, 0$^{\circ}$, 10$^{\circ}$, 15$^{\circ}$, 30$^{\circ}$, 40: 45: and 60, of the plate were tested for the above boundary conditions. Resutts obtained from the study are summarized as follows ; 1.The lateral displacement at the center of a skew- plate was decreased as the skewangle increased at all of the boundary conditions. The decrements of the conditions of BC-3 and BC-4 were considerable. And, difference of the displacement between the boundary conditions was decreased as the skew-angle was increased. 2. X-moments (to the Y-axis) at the center of a skew- plate and the minimum principal moments were shown as a similar pattern of change with respect to the skew-angle variation between BC-i and BC-2 and between BC-3 and BC-4, and the pattern of change at the conditions of BC-3 and BC-4 were shown higher rates than those for the conditions of BC-i and BC-2 3.Y-moments (to the X- axis) at the center of a skew-plate and the maximum principal moment were decreased as the skew-angle increased in a similar pattern at all of the boundary conditions. 4.X-moments at the obtuse angle side of a skew-plate were shown as a parabolic pattern of change (frist increased after then decreased) as the skew-angle increased, and a skew-angle resulting the maximum absolute moment was depended on the boundary conditions. 5.Y-moments at the obtuse angle side of a skew-plate were affected by the skewangle much more at the boundary condtions of BC-2 and BC-4 than at the conditions of BC-i and BC-3. 6.Maximum principal moments at the obtuse angle side of a skew-plate at the skew angle of 40$^{\circ}$- 45$^{\circ}$ were resulted almost the same value at all of the boundary conditions .

• 한국지반공학회지:지반
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• 제14권3호
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• pp.73-94
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• 1998

사면보강 또는 굴착면의 안정성 확보를 위해 쏘일례일링 공법이 종종 적용되고 있다. 그러나 오목형태 또는 볼록형태 모서리부와 같은 특수한 지역에 쏘일네일링 공법이 적용되어질 경우, 편기각보강형태, 즉 skew 쏘일네일 형태로 주로 시공쥐고 있다. 하지만, 지금까지 skew 쏘일례일링 공법이 적용된 굴착 모서리부에 대한 3차원 안정해석 및 거동분석 등에 대한 실험이나 연구결과는 미흡한 실정이며, 따라서 보강재의 배치형태, 삽입각도 및 길이 등 관련 설계변수값 결정에 관하여 주로 경험에 의존하고 있는 실정이다. 따글윽 본 연구의 주된 목적은, skew 쏘일네일링 공법이 오목형태 굴착 모서리부에 적용되는 경우 이에 대한 3차원 한계평형 안정성 평가기법을 제시하는 데 있다. 3차원 예상 파괴흙쐐기의 형상은 FLAC 프로그램 모델링 및 해석을 통해 결정하였으며, 모서리부에 대한 3차원 침투수압 산정식의 제시 및 해석시 다층지반조건의 고려 등이 포함되었다. 또한 제시된 3차원 안정해석법 을 이용해, 관련 설계변수들의 모서리부 안정성에 미치는 영향 정도를 분석하였다. 아울러 기 제시된 볼록형태 굴착 모서리부의 3차원 안정해석 법을 이용해 skew 쏘일네일 보강패턴의 효율성을 분석하였으며, 또한 굴착과정을 통해 전면부 벽체변위 및 인접지반의 침하 등이 상대적으로 문 제시되는 볼록형태 굴착 모서리부에 대한 변위예측을 위해 준 3차원 유한요소 해석기법 및 중첩기법 등의 적용을 시도하였다.

• Smart Structures and Systems
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• 제21권4호
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• pp.493-519
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• 2018

This article presents a finite element (FE) model to assess the free vibration and static response of a functionally graded skew magneto-electro-elastic (FGSMEE) plate. Through the thickness material grading of FGSMEE plate is achieved using power law distribution. The coupled constitutive equations along with the total potential energy approach are used to develop the FE model of FGSMEE plate. The transformation matrix is utilized in bringing out the element matrix corresponding to the global axis to a local axis along the skew edges to specify proper boundary conditions. The effect of skew angle on the natural frequency of an FGSMEE plate is analysed. Further, the study includes the evaluation of the static behavior of FGSMEE plate for various skew angles. The influence of skew angle on the primary quantities such as displacements, electric potential, and magnetic potential, and secondary quantities such as stresses, electric displacement and magnetic induction is studied in detail. In addition, the effect of power-law gradient, thickness ratio, boundary conditions and aspect ratio on the free vibration and static response characteristics of FGSMEE plate has been investigated.

• Journal of international Conference on Electrical Machines and Systems
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• 제2권4호
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• pp.390-393
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• 2013

In this paper, we proposed how the V-skew applied of the rotor to inprove the characteristics of cogging torque in large PMSM. Large PMSM is difficult to apply a pitch of the diagonal magnetic skew because of the motor's structure and making. In addition, the force in the direction of z-axis occurs when the diagonal skew is applied. So we are applying the optimal v-skew to reduce torque ripple and cogging torque because this reduces the noise and vivration on the motor. Throug FEM dD analysis, we studied to find the optimal v-skew angle for reducing torque ripple.

• 한국콘크리트학회:학술대회논문집
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• 한국콘크리트학회 1998년도 봄 학술발표회논문집(II)
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• pp.409-414
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• 1998

In this paper, we present the results of finite element analyses pertaining to the mechanical behavior of simply supported skew concrete slab bridges. To investigate the bending behavior of skew concrete slab three skewed slabs are modelled with different plate aspect ratios. In each modelled skew plate, skew angles are varied from 0$^{\circ}$to 45$^{\circ}$ by 5$^{\circ}$interval. It is found that the support reactions at the obtuse corner are remarkably higher than the other support reactions. In the design of skew slab bridge bearings, the capacity of bearing installed at the obtuse corner should be very high or otherwise the spacing between the bearings at this corner must be adjusted appropriately to resist extra high reactions.

• 한국농공학회지
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• 제28권1호
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• pp.75-82
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• 1986

In this paper. the characteristics of mechanical behaviour due to various edge-ratio of uniformly loaded clamped skew-~plates has been described. In this study, the skew-plate was discretized using 8-noded isoparametric element and Mindlin's plate theory was adapted in finite element formulation. The edge-ratio 0.5,0.8,1.0,1.2,1.5,2.0 and 2.5 were considered. Hence, five cond- itions of the skew-angle, the seven levels of edge ratio were tried. When the edge-ratio was 2.5 or the edge-ratio was 2.0 and the skew-angle was less than 45 degree, the behaviour of the uniformly loaded the skew-plate with all edges clamped was independent of the skew-angle.

• 콘크리트학회논문집
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• 제11권3호
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• pp.3-12
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• 1999

This study presents a suggestion of regulation of skewed slab bridge. In order to find the characteristic behavior of skew bridge, many cases of skew bridges were analyzed with changed angle of skew. The comparison of design methods for cantilever part in pier was also made. It was found that : (1) The lower the skew angle was, the higher the maximum support reaction forces at the end point were. (2) The higher the ratio of L/B was, the higher the maximum support reaction force at the point was. (3) The effect of skew may be neglected for skew angles of $70^{\circ}$or more. (4) If elastic springs are applied to the boundary conditions to simulate the rubber pad bearings, the results will be more reasonable. (5) The shear deformation effect must be considered in the analysis of cantilever part of substructure. (6) Using strut and tie model to design cantilever part of pier, it will be more simple than finite element method with same accuracy and more accurate than using frame element.