• 제목/요약/키워드: 3D elasticity

검색결과 237건 처리시간 0.022초

Natural frequency analysis of joined conical-cylindrical-conical shells made of graphene platelet reinforced composite resting on Winkler elastic foundation

  • Xiangling Wang;Xiaofeng Guo;Masoud Babaei;Rasoul Fili;Hossein Farahani
    • Advances in nano research
    • /
    • 제15권4호
    • /
    • pp.367-384
    • /
    • 2023
  • Natural frequency behavior of graphene platelets reinforced composite (GPL-RC) joined truncated conical-cylindrical- conical shells resting on Winkler-type elastic foundation is presented in this paper for the first time. The rule of mixture and the modified Halpin-Tsai approach are applied to achieve the mechanical properties of the structure. Four different graphene platelets patterns are considered along the thickness of the structure such as GPLA, GPLO, GPLX, GPLUD. Finite element procedure according to Rayleigh-Ritz formulation has been used to solve 2D-axisymmetric elasticity equations. Application of 2D axisymmetric elasticity theory allows thickness stretching unlike simple shell theories, and this gives more accurate results, especially for thick shells. An efficient parametric investigation is also presented to show the effects of various geometric variables, three different boundary conditions, stiffness of elastic foundation, dispersion pattern and weight fraction of GPLs nanofillers on the natural frequencies of the joined shell. Results show that GPLO and BC3 provide the most rigidity that cause the most natural frequencies among different BCs and GPL patterns. Also, by increasing the weigh fraction of nanofillers, the natural frequencies will increase up to 200%.

두꺼운 완전 원추형 회전셸의 3차원적 진동해석 (Three-dimensional Vibration Analysis of Thick, Complete Conical Shells of Revolution)

  • 심현주;강재훈
    • 한국소음진동공학회논문집
    • /
    • 제15권4호
    • /
    • pp.457-464
    • /
    • 2005
  • A three-dimensional (3-D) method of analysis is presented for determining the free vibration frequencies and mode shapes of thick, complete (not truncated) conical shells of revolution, Unlike conventional shell theories, which are mathematically two-dimensional (2-D). the present method is based upon the 3-D dynamic equations of elasticity. Displacement components $u_{r},\;u_{z},\;and\;u_{\theta}$ in the radial, axial, and circumferential directions, respectively, are taken to be sinusoidal in time, periodic in , and algebraic polynomials in the r and z directions. Potential (strain) and kinetic energies of the conical shells are formulated, the Ritz method is used to solve the eigenvalue problem, thus yielding upper bound values of the frequencies by minimizing the frequencies. As the degree of the polynomials is increased, frequencies converge to the exact values. Convergence to four-digit exactitude is demonstrated for the first five frequencies of theconical shells. Novel numerical results are presented for thick, complete conical shells of revolution based upon the 3-D theory. Comparisons are also made between the frequencies from the present 3-D Ritz method and a 2-D thin shell theory.

Static stability analysis of smart nonlocal thermo-piezo-magnetic plates via a quasi-3D formulation

  • Fenjan, Raad M.;Ahmed, Ridha A.;Faleh, Nadhim M.;Hani, Fatima Masood
    • Smart Structures and Systems
    • /
    • 제26권1호
    • /
    • pp.77-87
    • /
    • 2020
  • By employing a quasi-3D plate formulation, the present research studies static stability of magneto-electro-thermo-elastic functional grading (METE-FG) nano-sized plates. Accordingly, influences of shear deformations as well as thickness stretching have been incorporated. The gradation of piezo-magnetic and elastic properties of the nano-sized plate have been described based on power-law functions. The size-dependent formulation for the nano-sized plate is provided in the context of nonlocal elasticity theory. The governing equations are established with the usage of Hamilton's rule and then analytically solved for diverse magnetic-electric intensities. Obtained findings demonstrate that buckling behavior of considered nanoplate relies on the variation of material exponent, electro-magnetic field, nonlocal coefficient and boundary conditions.

A state space meshless method for the 3D analysis of FGM axisymmetric circular plates

  • Wu, Chih-Ping;Liu, Yan-Cheng
    • Steel and Composite Structures
    • /
    • 제22권1호
    • /
    • pp.161-182
    • /
    • 2016
  • A state space differential reproducing kernel (DRK) method is developed for the three-dimensional (3D) analysis of functionally graded material (FGM) axisymmetric circular plates with simply-supported and clamped edges. The strong formulation of this 3D elasticity axisymmetric problem is derived on the basis of the Reissner mixed variational theorem (RMVT), which consists of the Euler-Lagrange equations of this problem and its associated boundary conditions. The primary field variables are naturally independent of the circumferential coordinate, then interpolated in the radial coordinate using the early proposed DRK interpolation functions, and finally the state space equations of this problem are obtained, which represent a system of ordinary differential equations in the thickness coordinate. The state space DRK solutions can then be obtained by means of the transfer matrix method. The accuracy and convergence of this method are examined by comparing their solutions with the accurate ones available in the literature.

On static stability of electro-magnetically affected smart magneto-electro-elastic nanoplates

  • Ebrahimi, Farzad;Barati, Mohammad Reza
    • Advances in nano research
    • /
    • 제7권1호
    • /
    • pp.63-75
    • /
    • 2019
  • This article represents a quasi-3D theory for the buckling investigation of magneto-electro-elastic functionally graded (MEE-FG) nanoplates. All the effects of shear deformation and thickness stretching are considered within the presented theory. Magneto-electro-elastic material properties are considered to be graded in thickness direction employing power-law distribution. Eringen's nonlocal elasticity theory is exploited to describe the size dependency of such nanoplates. Using Hamilton's principle, the nonlocal governing equations based on quasi-3D plate theory are obtained for the buckling analysis of MEE-FG nanoplates including size effect and they are solved applying analytical solution. It is found that magnetic potential, electric voltage, boundary conditions, nonlocal parameter, power-law index and plate geometrical parameters have significant effects on critical buckling loads of MEE-FG nanoscale plates.

MWCNTs 기반 인쇄형 압력감응잉크의 제조 조건 최적화 (Optimization of Manufacturing Conditions of Pressure-Sensitive Ink Based on MWCNTs)

  • 박성철;이인환;배용환;김호찬
    • 한국기계가공학회지
    • /
    • 제18권8호
    • /
    • pp.1-7
    • /
    • 2019
  • Materials that can be used for 3D printing have been developed in terms of phase and functionality. Materials should also be easily printed with high accuracy. In recent years, the concept of 4D printing has been extended to materials whose physical properties such as shape or volume can change depending on the environment. Typically, such high-performance 3D printing materials include bio-inks and inks for sensors. This study deals with the optimization of the manufacturing method to improve the functional properties of the pressure sensitive material, which can be used as a sensor based on change of the resistance according to the pressure. Specifically, the number of milling for dispersion, the ratio of hardener for controlling elasticity, and the content of MWCNTs were optimized. As a result, a method of manufacturing a highly sensitive pressure-sensitive ink capable of use in 3D printing was introduced.

동작시 3D 정보를 이용한 2D 패턴 전개 및 신축성 원단의 신장률을 고려한 사이클 팬츠 개발 (Development of 2D Patterns for Cycling Pants using 3D Data of Human Movement and Stretch Fabric)

  • 정연희;홍경희
    • 한국생활과학회지
    • /
    • 제19권3호
    • /
    • pp.555-563
    • /
    • 2010
  • With recent advances in 3D scanning technology, three-dimensional (3D) patternmaking is becoming a powerful way to develop garments pattern. This technology is now applicable to the made to measure (MTM) system of both ordinary and tightly fitting garments. Although the pattern of fitted clothing has been developed using 3D human data, it is still interesting to develop cycling pants by considering while-cycling body posture and fabric elasticity. This study adopted the Garland's triangle simplification method in order to simplify data without distorting the original 3D scan. Next, the Runge-Kutta method (2C-AN program) was used to develop a 2D pattern from the triangular pixels in the 3D scanned data. The 3D scanned data of four male, university students aged from 21 to 25, was obtained using Whole body scanner (Model WB4, Cyberware, Inc., USA). Results showed the average error of measurement was $4.58cm^2$ (0.19%) for area and 0~0.61cm for the length between the 3D body scanned data and the 2D developed pattern data. This is an acceptable range of error for garment manufacture. Additionally, the 2D pattern developed, based on the 3D body scanned data, did not need ease for comfort or ease of movement when cycling. This study thus provides insights into how garment patterns may be developed for ergonomic comfort in certain special environments.

R&D 투자 촉진을 위한 재정지원정책의 효과분석 (The Effectiveness of Fiscal Policies for R&D Investment)

  • 송종국;김혁준
    • 기술혁신연구
    • /
    • 제17권1호
    • /
    • pp.1-48
    • /
    • 2009
  • 최근 외환위기 이후 기업 R&D 투자의 실질증가율이 외환위기 이전의 절반에 가까운 평균 약 7.1%로 떨어지고 있으며, 대기업에 비해 중소기업에 대한 정부의 R&D 투자 지원이 상대적으로 유리한 데도 중소기업의 R&D 투자 비중은 줄어들고 있다. 또한 1990년대 중반부터 상위 3개 기업을 제외한 대기업 R&D 투자는 증가하지 않고 있어 대기업 간의 R&D 투자 양극화 현상이 나타나고 있다. 이러한 기업의 R&D 투자 현상의 원인이 무엇인지 분석해 볼 필요가 있다. 또한 정부의 R&D 직접 보조금 정책이나 조세지원 정책의 당위성에 대해서 이론적으로나 현실적으로 그 필요성이 인정되더라도 정책의 효율성에 대해서는 검증해 보아야 할 것이다. 본 연구에서는 우리 정부가 가장 보편적으로 활용하고 있는 R&D 보조금 지원제도와 조세지원제도가 과연 효과가 있는지를 실증 분석을 통해 검증해 보려고 한다. 특히 우리나라의 재정지원제도는 대기업과 중소기업 간에 차별적으로 적용되고 있기 때문에 기업 규모에 따른 정책 효과를 구분하여 분석한다. 본 연구의 실증 분석에 이용한 개별 기업의 R&D 데이터는 2002년에서 2005년까지 기업의 연구개발 활동에 대해 서베이 한 "과학기술연구개발활동조사보고"의 기업별 원시 패널 데이터 중에서 활용한 불균형(unbalanced) 패널 데이터이다. 각 기업의 보조금과 관련한 데이터는 "과학기술연구개발활동조사보고"의 서베이 데이터를 사용했으며, 조세지원을 나타내는 사용자 비용에 관한 데이터는 이론적 모형에서 도출하였다. 본 연구의 패널 데이터 분석은 고정효과 모형을 대기업, 중소기업 및 모든 기업에 각각 적용했다. 본 연구의 실증 분석 결과는 다음과 같다. 정부의 직접 보조금 지원은 대기업의 경우 R&D 투자를 늘리는 유인효과(crow이ng-in effect)를 보인데 반해, 중소기업은 R&D 투자를 줄이는 구축효과(crowding-out effect)가 나타났다. 그러나 대기업이나 중소기업 모두 정부의 보조금 지원정책에 대한 반응이 매우 비탄력적으로 추정되었기 때문에 R&D 보조금 지원정책이 기업의 R&D 투자에 미치는 영향은 매우 낮은 것으로 판단된다. 정부의 R&D 조세지원은 대기업과 중소기업의 R&D 투자를 유인하는 것으로 분석되었으며, 특히 중소기업보다 대기업의 R&D 촉진에 더 효과적인 것으로 나타났다. 조세지원으로 사용자 비용이 1% 감소하면 대기업은 R&D 투자를 0.99% 증가시키고, 중소기업은 0.054% 증가시키는 것으로 추정되었다. 본 연구의 분석 결과에서 시사하는 정부의 R&D 재정지원제도의 개선 방향은 다음과 같이 요약할 수 있다. 정부의 R&D 보조금은 기업의 R&D 투자를 구축하지 않도록 기업과 중복되지 않는 기초연구와 공공기술 지원에 국한해야 하며, 중소기업에 대해서는 R&D 인프라 구축과 기술정보지원 등 R&D 서버스(extension service) 지원에 초점을 두어야 할 것이다. 대기업에 대한 R&D 조세지원은 한시적으로 강화할 필요가 있다. 본 연구는 4개 연도의 기업 패널 데이터를 활용하였는데, 앞으로 정책의 효과를 장기간에 걸쳐 분석할 수 있는 거시 시계열 데이터를 활용한 분석의 보완이 필요하다. 또한 기업의 R&D 투자 촉진 외에도 일반 투자나 기타 목적을 위해 시행되고 있는 정부의 재정 정책들과의 대체 혹은 보완 관계의 여부를 검증해 볼 필요가 있다. 특히 중소기업의 시설투자 세액 공제와 R&D 투자 세액공제 제도의 혜택은 단기투자와 장기투자를 선택해야 하는 기업의 의사 결정에 영향을 줄 수 있다.

  • PDF

SLS 방식의 3D 프린팅 기술을 활용한 직물구조적인 디자인설계 연구 -유연성 있는 직조구조 직물설계를 중심으로- (Study on the Textile Structural Design using SLS 3D Printing Technology -Focused on Design of Flexible Woven Fabric Structure-)

  • 송하영
    • 패션비즈니스
    • /
    • 제23권3호
    • /
    • pp.67-84
    • /
    • 2019
  • Since the early 2000s, various fashion design products that use 3D printing technology have constantly been introduced to the fashion industry. However, given the nature of 3D printing technology, the flexible characteristics of material of textile fabrics is yet to be achieved. The aim of this study is to develop the optimal design conditions for production of flexible and elastic 3D printing fabric structure based on plain weave, which is the basic structure in fabric weaving using SLS 3D printing technology. As a the result this study aims to utilize appropriate design conditions as basic data for future study of flexible fashion product design such as textile material. Weaving structural design using 3D printing is based on the basic plain weave, and the warp & weft thickness of 4mm, 3mm, 2mm, 1.5mm, 1mm, and 0.7mm as expressed in Rhino 6.0 CAD software program for making a 3D model of size $1800mm{\times}180mm$ each. The completed 3D digital design work was then applied to the EOS SLS Machine through Maker ware, a program for 3D printer output, using polyamide 12 material which has a rigid durability strength, and the final results obtained through bending flexibility tests. In conclusion, when designing the fabric structure design in 3D printing using SLS method through application of polyamide 12 material, the thickness of 1 mm presented the optimal condition in order to design a durable digital textile structure with flexibility and elasticity of the 3D printing result.

3D 프린팅으로 출력된 PLA 시편의 채움 밀도에 따른 기계적 물성 평가 (Infill Print Parameters for Mechanical Properties of 3D Printed PLA Parts)

  • 설경수;조반희;신병철;장성욱
    • 한국기계가공학회지
    • /
    • 제17권4호
    • /
    • pp.9-16
    • /
    • 2018
  • Recently, the demand for eco-friendly parts has increased to reduce materials and parts that use fossil fuels. This has exacerbated the increase of energy prices and the enforcement of regulations by environmental agencies. Currently, polylactic acid (PLA) is a solution, as a common and eco-friendly material. PLA is a biodegradable material that can replace traditional petrochemical polymers. PLA has great advantages since it is resistant to cracking and shrinkage. When it is manufactured, there are few harmful byproducts. Improvement in the brittleness characteristics is another important task to be monitored throughout the production of industrial parts. Improvement in the brittleness property of products lowers the tensile strength and tensile elasticity modulus of the parts. This study focused on the mechanical properties of 3D-printed PLA parts. Tensile tests are performed while varying the infill print parameters to evaluate the applicability of PLA in several industrial areas.