• 제목/요약/키워드: high order theory

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An extension of a high order approach for free vibration analysis of the nano-scale sandwich beam with steel skins for two types of soft and stiff cores

  • Marandi, S. Masoud;Dehkordi, Mohsen Botshekanan;Nourbakhsh, S. Hassan
    • Steel and Composite Structures
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    • 제31권3호
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    • pp.261-276
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    • 2019
  • The study investigates the free vibration of a nano-scale sandwich beam by an extended high order approach, which has not been reported in the existing literature. First-order shear deformation theory for steel skins and so-called high-order sandwich panel theory for the core are applied. Next, the modified couple stress theory is used for both skins and cores. The Hamilton principle is utilized for deriving equations and corresponding boundary conditions. First, in the study the three-mode shapes natural frequencies for various material parameters are investigated. Also, obtained results are evaluated for two types of stiff and soft cores and isotropic, homogenous steel skins. In the research since the governing equations and also the boundary conditions are nonhomogeneous, therefore some closed-form solutions are not applicable. So, to obtain natural frequencies, the boundary conditions are converted to initial conditions called the shooting method as the numerical one. This method is one of the most robust approaches to solve complex equations and boundary conditions. Moreover, three types of simply supported on both sides of the beam (S-S), simply on one side and clamp supported on the other one (S-C) and clamped supported on both sides (C-C) are scrutinized. The parametric study is followed to evaluate the effect of nano-size scale, geometrical configurations for skins, core and material property change for cores as well. Results show that natural frequencies increase by an increase in skins thickness and core Young modulus and a decrease in beam length, core thickness as well. Furthermore, differences between obtained frequencies for soft and stiff cores increase in higher mode shapes; while, the more differences are evaluated for the stiff one.

Analysis of torsional-bending FGM beam by 3D Saint-Venant refined beam theory

  • Guendouz, Ilies;Khebizi, Mourad;Guenfoud, Hamza;Guenfoud, Mohamed;El Fatmi, Rached
    • Structural Engineering and Mechanics
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    • 제84권3호
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    • pp.423-435
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    • 2022
  • In this article, we present torsion-bending analysis of a composite FGM beam with an open section, according to the advanced and refined theory of 1D / 3D beams based on the 3D Saint-Venant's solution and taking into account the edge effects. The (initially one-dimensional) model contains a set of three-dimensional (3D) displacement modes of the cross section, reflecting its 3D mechanical behaviour. The modes are taken into account depending on the mechanical characteristics and the geometrical form of the cross-section of the composite FGM beam. The model considered is implemented on the CSB (Cross-Section and Beam Analysis) software package. It is based on the RBT/SV theory (Refined Beam Theory on Saint-Venant principle) of FGM beams. The mechanical and physical characteristics of the FGM beam continuously vary, depending on a power-law distribution, across the thickness of the beam. We compare the numerical results obtained by the three-beam theories, namely: The Classical Beam Theory of Saint-Venant (Classical Beam Theory CBT), the theory of refined beams (Refined Beam Theory RBT), and the theory of refined beams, using the higher (high) modes of distortion of the cross-section (Refined Beam Theory using distorted modes RBTd). The results obtained confirm a clear difference between those obtained by the three models at the level of the supports. Further from the support, the results of RBT and RBTd are of the same order, whereas those of CBT remains far from those of higher-order theories. The 3D stresses, strains and displacements, obtained by the present study, reflect the 3D behaviour of FGM beams well, despite the initially 1D nature of the problem. A validation example also shows a very good agreement of the proposed models with other models (classical or higher-order beam theory) and Carrera Unified Formulation 1D-beam model with Lagrange Expansion functions (CUF-LE).

모바일 간편 결제 서비스의 고액 결제 사용의도 집단과 소액 결제 사용의도 집단 간 차이 연구 (The Study of Mobile Convenient Payments According to the Type of High and Low Value Payment Intentions)

  • 김기호;이형용
    • 한국정보시스템학회지:정보시스템연구
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    • 제28권2호
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    • pp.181-200
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    • 2019
  • Purpose In order to find out the influential factors to accept the mobile convenient payment service like Apple pay or Samsung Pay based on the Unified Theory of Acceptance and Use of Technology according to the type of High and Low value payments. Design/methodology/approach This research model is designed on the factors of Unified Theory of Acceptance and Use of Technology and simultaneously analysed, or performed the empirical analysis of the PLS-SEM(Partial Least Squares structural equation model) in order to forage for the association among mobile convenient payment service's features. Findings According to the empirical analysis consequence, this research confirmed that the adoption of mobile convenient payment services is influence by features on the basis of Unified Theory of Acceptance and Use of Technology, mobility, and trust. Also, this paper figure out that the behavior of an user acceptance of mobile convenient payment services according to the type of high and low value payments.

Vibration response and wave propagation in FG plates resting on elastic foundations using HSDT

  • Nebab, Mokhtar;Atmane, Hassen Ait;Bennai, Riadh;Tounsi, Abdelouahed;Bedia, E.A. Adda
    • Structural Engineering and Mechanics
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    • 제69권5호
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    • pp.511-525
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    • 2019
  • This paper presents an analytical study of wave propagation in simply supported graduated functional plates resting on a two-parameter elastic foundation (Pasternak model) using a new theory of high order shear strain. Unlike other higher order theories, the number of unknowns and governing equations of the present theory is only four unknown displacement functions, which is even lower than the theory of first order shear deformation (FSDT). Unlike other elements, the present work includes a new field of motion, which introduces indeterminate integral variables. The properties of the materials are assumed to be ordered in the thickness direction according to the two power law distributions in terms of volume fractions of the constituents. The wave propagation equations in FG plates are derived using the principle of virtual displacements. The analytical dispersion relation of the FG plate is obtained by solving an eigenvalue problem. Numerical examples selected from the literature are illustrated. A good agreement is obtained between the numerical results of the current theory and those of reference. A parametric study is presented to examine the effect of material gradation, thickness ratio and elastic foundation on the free vibration and phase velocity of the FG plate.

신뢰성 이론을 이용한 500kgf/$\textrm{cm}^2$의 고강도콘크리트 구조물에 대한 휨변형의 해석적 연구 (An Analytical Study of the Flexural Deformation for High Strength Concrete Structures using Reliability Theory)

  • 송재호;최광진;김민웅;홍원기
    • 한국콘크리트학회:학술대회논문집
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    • 한국콘크리트학회 1995년도 봄 학술발표회 논문집
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    • pp.231-236
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    • 1995
  • The object of this thesis is an analytical study on flexural deformation of high strength concrete structures using reliability theory. Using the established experimental data that have been presented in various documents the stress-strain relationship curves of high strength(500kgf/$\textrm{cm}^2$)models are proposed. Based on both methods of logarithm regression analysis and multiple regression analysis adopted in order to establish the relationships between design parameters, response random variables and flexural deformation analyzed using Monte Carlo simulation and Simpson composite formula. Additional random variables are introduced to incorporate both the confidence in the analytical accuracy of engineering mechanics associated with structural response quantities and the uncertainty in the construction quality control. The result is expected to accomodate other important design parameter of high strength concrete design in treating reliability theory that practicing engineers, structural engineering often face.

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Improved Dual Closed-loops PWM Control of PM DC Servomotor - a Case Study of Undergraduate Education for Electrical Engineering

  • Cao, Hongtai
    • Journal of international Conference on Electrical Machines and Systems
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    • 제3권4호
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    • pp.374-378
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    • 2014
  • PID control method usually has problems of overshoot and oscillation in high order control system, therefore, it is important to improve the control method so as to reduce the overshoot and oscillation. Based on MATLAB simulation, a permanent magnet (PM) DC servomotor control system is studied in this paper. The motor is modeled according to the universal motor theory, and with the help of the fourth order Ronge-Kutta method, its speed control is simulated and compared between two different dual closed-loops PWM control methods. This case study helps undergraduate students to better understand theories related to electrical engineering, such as electrical machinery, power electronics and control theory, as well as digital solution of state equations.

An equivalent single-layer theory for free vibration analysis of steel-concrete composite beams

  • Sun, Kai Q.;Zhang, Nan;Liu, Xiao;Tao, Yan X.
    • Steel and Composite Structures
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    • 제38권3호
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    • pp.281-291
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    • 2021
  • An equivalent single-layer theory (EST) is put forward for analyzing free vibrations of steel-concrete composite beams (SCCB) based on a higher-order beam theory. In the EST, the effect of partial interaction between sub-beams and the transverse shear deformation are taken into account. After using the interlaminar shear force continuity condition and the shear stress free conditions at the top and bottom surface, the displacement function of the EST does not contain the first derivatives of transverse displacement. Therefore, the C0 interpolation functions are just demanded during its finite element implementation. Finally, the EST is validated by comparing the results of two simply-supported steel-concrete composite beams which are tested in laboratory and calculated by ANSYS software. Then, the influencing factors for free vibrations of SCCB are analyzed, such as, different boundary conditions, depth to span ratio, high-order shear terms, and interfacial shear connector stiffness.

Geometrically nonlinear analysis of sandwich beams under low velocity impact: analytical and experimental investigation

  • Salami, Sattar Jedari;Dariushi, Soheil
    • Steel and Composite Structures
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    • 제27권3호
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    • pp.273-283
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    • 2018
  • Nonlinear low velocity impact response of sandwich beam with laminated composite face sheets and soft core is studied based on Extended High Order Sandwich Panel Theory (EHSAPT). The face sheets follow the Third order shear deformation beam theory (TSDT) that has hitherto not reported in conventional EHSAPT. Besides, the two dimensional elasticity is used for the core. The nonlinear Von Karman type relations for strains of face sheets and the core are adopted. Contact force between the impactor and the beam is obtained using the modified Hertz law. The field equations are derived via the Ritz based applied to the total energy of the system. The solution is obtained in the time domain by implementing the well-known Runge-Kutta method. The effects of boundary conditions, core-to-face sheet thickness ratio, initial velocity of the impactor, the impactor mass and position of the impactor are studied in detail. It is found that each of these parameters have significant effect on the impact characteristics which should be considered. Finally, some low velocity impact tests have been carried out by Drop Hammer Testing Machine. The contact force histories predicted by EHSAPT are in good agreement with that obtained by experimental results.

抵溫에서의 固體 重合體의 力學的 에너지 緩和에 對한 線形反應 理論 (Linear Response Theory for the Mechanical Energy Relaxation of Solid High Polymers at Low Temperature)

  • 유병찬
    • 대한화학회지
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    • 제20권5호
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    • pp.340-350
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    • 1976
  • 글라스(glass) 전이온도 이하에서 고체 중합체들의 역학적 분광학의 여러 현상들을 이론적으로 기술하는 데 적용된 線形 반응 이론을 제안하였다. 시료에 의한 에너지 분산을 어떤 시간 相關函數들로 나타내었다. Liouville 연산자를 Kirkwood의 확산식 연산자로 대치하면, 여기에서 시간은 결과로부터 다리결합을 한 중합체들의 에너지 상실과 완화에 대한 Kirkwood의 결과가 나옴을 보였다. 완화시간을 계산하는 방법을 보이기 위하여 상관함수들을 계산하는 근사법을 고찰하였다. 여기에서 제안한 이론과 저온에서 매달린 (pendant) 시클로헥실기들을 가진 고체 중합체들의 역학적 에너지 완화 현상을 기술하는 데 사용된 한 모형 이론과의 관련성을 찾아 보기 위해, 이 근사법을 써서 二重우물 퍼텐셜 모형을 고찰하였다.

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Development and Evaluation of a Hospice and Palliative Care Music Therapy Education Program

  • Kim, Eun Jung;Lee, Eun Jeong;Lee, Chung-Woo;Choi, Youn Seon
    • Journal of Hospice and Palliative Care
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    • 제23권1호
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    • pp.17-26
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    • 2020
  • Purpose: This study was conducted to develop a hospice music therapist training program and to evaluate its effects. Methods: The educational program consisted of training on the theory of hospice and the theory and practice of hospice music therapy. The course lasted for 4 weeks, with 8 hours of training per week, and 33 music therapists completed the course. In order to assess the effectiveness of the course, participants' knowledge and confidence regarding hospice music therapy and readiness for hospice music therapy before and after education were measured. The statistical analysis was done using SPSS version 18.0 and the paired t-test was used to assess the effectiveness of the program. Results: The trainees showed significant improvements in knowledge (P<0.001) and confidence (P<0.001) in all areas of this course, as well as in readiness for hospice music therapy (P<0.001). Participants' satisfaction with the lectures was assessed using a 5-point Likert scale. The average score for all lecture areas exceeded 4 (yes), and the satisfaction level was mostly high. Students were most satisfied with the lectures on music therapy theory, followed in order by those on music therapy practice and hospice theory. Conclusion: This hospice music therapist training program is considered to be suitable because of its positive educational effects and the high satisfaction of participants with the lectures. In order to provide high-quality music therapy services to patients and their families, this training course should be regularly offered to cultivate competent music therapists, and the content of the education should be standardized and applied in various clinical settings.