• Title/Summary/Keyword: shell-like function

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ON A CLASS OF q-BI-UNIVALENT FUNCTIONS OF COMPLEX ORDER RELATED TO SHELL-LIKE CURVES CONNECTED WITH THE FIBONACCI NUMBERS

  • Ahuja, Om P.;Cetinkaya, Asena;Bohra, Nisha
    • Honam Mathematical Journal
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    • v.42 no.2
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    • pp.319-330
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    • 2020
  • We introduce a new subclass of q-bi-univalent functions of complex order related to shell-like curves connected with the Fibonacci numbers. We obtain the coefficient estimates and Fekete-Szegö inequalities for the functions belonging to this class. Relevant connections with various other known classes have been illustrated.

Frequency Response Analysis of Cylindrical Shells Conveying Fluid Using Finite Element Method

  • Seo Young-Soo;Jeong Weui-Bong;Yoo Wan-Suk;Jeong Ho-Kyeong
    • Journal of Mechanical Science and Technology
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    • v.19 no.2
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    • pp.625-633
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    • 2005
  • A finite element vibration analysis of thin-walled cylindrical shells conveying fluid with uniform velocity is presented. The dynamic behavior of thin-walled shell is based on the Sanders' theory and the fluid in cylindrical shell is considered as inviscid and incompressible so that it satisfies the Laplace's equation. A beam-like shell element is used to reduce the number of degrees-of-freedom by restricting to the circumferential modes of cylindrical shell. An estimation of frequency response function of the pipe considering of the coupled effects of the internal fluid is presented. A dynamic coupling condition of the interface between the fluid and the structure is used. The effective thickness of fluid according to circumferential modes is also discussed. The influence of fluid velocity on the frequency response function is illustrated and discussed. The results by this method are compared with published results and those by commercial tools.

Dynamic Characteristics of Laminated Shells by Finite Strip Mehod (FSM에 의한 다층 원통쉘의 동적 특성에 관한 연구)

  • Park, Sungjin
    • Journal of the Society of Disaster Information
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    • v.11 no.4
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    • pp.534-541
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    • 2015
  • This study was presented how to interpret a laminated cylindrical shell having both ends supported condition are simple, and by identifying the three-dimensional stress characteristics. The governing equations were using the concept of finite element assuming the conversion into ordinary differential equations and partial differential equations by numerical analysis using the finite strip method. In particular, a function performed for the three-dimensional laminated cylindrical shell having a simple support condition were analyzed for the case composed of a specific function of the beam consisting of a trigonometric function. Layer material and layer thickness of a steel or concrete, the cylindrical length and the like by varying the parameters variously examine the effects of multi-layer cylindrical shell.

Identification of the Structural Damages in a Cylindrical Shell (원통형 셸에 발생한 구조손상의 규명)

  • Kim, Sung-Hwan;Lee, U-Sik
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.29 no.12 s.243
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    • pp.1586-1596
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    • 2005
  • In this paper, a structural damage identification method (SDIM) is developed to identify the line crack-like directional damages generated within a cylindrical shell. First, the equations of motion for a damaged cylindrical shell are derived. Based on a theory of continuum damage mechanics, a small material volume containing a directional damage is represented by the effective orthotropic elastic stiffness, which is dependent of the size and the orientation of the damage with respect to the global coordinates. The present SDIM is then derived from the frequency response function (FRF) directly solved from the equations of motion of a damaged shell. In contrast with most existing SDIMs which require the modal parameters measured in both intact and damaged states, the present SDIM may require only the FRF-data measured at damaged state. By virtue of utilizing FRF-data, one may choose as many sets of excitation frequency and FRF measurement point as needed to acquire a sufficient number of equations for damage identification analysis. The numerically simulated damage identification tests are conducted to study the feasibility of the present SDIM.

A DAMAGE IDENTIFICATION METHOD FOR THIN CYLINDRICAL SHELLS (얇은 원통형 쉘에 발생한 손상 규명)

  • Oh H.;Cho J.;Lee U.
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2005.10a
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    • pp.394-399
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    • 2005
  • In this paper, a structural damage identification method (SDIM) is developed to identify the line crack-like directional damages generated within a cylindrical shell. First, the equations of motion fur a damaged cylindrical shell are derived. Based on a theory of continuum damage mechanics, a small material volume containing a directional damage is represented by the effective orthotropic elastic stiffness, which is dependent of the size and the orientation of the damage with respect to the global coordinates. The present SDIM is then derived from the frequency response function (FRF) directly solved from the dynamic equations of the damaged cylindrical shell. In contrast with most existing SDIMs which require the modal parameters measured in both intact and damaged states, the present SDIM requires only the FRF-data measured in damaged state. By virtue of utilizing FRF-data, one may choose as many sets of excitation frequency and FRF measurement point as needed to acquire a sufficient number of equations fer damage identification analysis. The numerically simulated damage identification tests are conducted to study the feasibility of the present SDIM.

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A Study on the Application of New Cosmetic Materials of Whitening Effect and the Physiological Activities of Chestnut Inner Shell (율피의 생리활성 몇 미백효과를 이용한 화장품신소재에 관한 연구)

  • Jung, Su-Hyun;Jo, Woo-A;Son, Jun-Ho;Park, Chan-Ik;Lee, In-Chul;An, Bong-Jeun;Son, Ae-Ryang;Kim, Sae-Ki;Kim, Young-Sun;Jung, Yeon-Suk;Kang, Bo-Yeon;Choi, Eun-Young;Lee, Jin-Tae
    • The Korea Journal of Herbology
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    • v.20 no.2
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    • pp.27-33
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    • 2005
  • Objectives : This is the study of the application as the ingredients of cosmetics through the examination of the function for physiological activity of Chestnut inner shell. Methods : Chestnut inner shell, which had been extracted, concentrated, and freeze drying with water and ethanol, have been used for the experiment. The effects on electronic donating ability, SOD-like activity, xanthine oxidase inhibition, whitening effect, nitric oxide inhibition have been investigated in the physiological activity measurement of function experiment. Results : We used BHA and kogic acid for the comparative. As a result of testing electron donating ability, at over 100ppm of water extract and ethanol extract, BHA showed relatively high donating ability by more than 90%. And as a result of measuring SOD like activity, 1000ppm of water extract showed an effect of 30% and ethanol extract showed an effect of 40%, BHA showed an effect of 30%. In the xanthine oxidase inhibition test, 1000ppm of water extract showed an effect of 70% and ethanol extract showed an effect of 63%, BHA showed an effect of 100%. In the tyrosinase inhibition test, 1000ppm of water extract showed an effect of 55% and ethanol extract showed an effect of 87%, Kogic acid showed an effect of 98%. In the anti-inflammatory test, the water extract and ethanol extract inhibited the generation of nitric oxide. Conclusions : The results indicated that extract of Chestnut inner shell can be used as a natural ingredients with biological function in cosmetics ingredients.

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COEFFICIENT INEQUALITIES FOR ANALYTIC FUNCTIONS CONNECTED WITH k-FIBONACCI NUMBERS

  • Serap, Bulut;Janusz, Sokol
    • Honam Mathematical Journal
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    • v.44 no.4
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    • pp.521-534
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    • 2022
  • In this paper, we introduce a new class 𝓡kλ(λ ≥ 1, k is any positive real number) of univalent complex functions, which consists of functions f of the form f(z) = z + Σn=2 anzn (|z| < 1) satisfying the subordination condition $$(1-{\lambda}){\frac{f(z)}{z}}+{\lambda}f^{\prime}(z){\prec}{\frac{1+r^2_kz^2}{1-k{\tau}_kz-{\tau}^2_kz^2}},\;{\tau}_k={\frac{k-{\sqrt{k^2+4}}}{2}$$, and investigate the Fekete-Szegö problem for the coefficients of f ∈ 𝓡kλ which are connected with k-Fibonacci numbers $F_{k,n}={\frac{(k-{\tau}_k)^n-{\tau}^n_k}{\sqrt{k^2+4}}}$ (n ∈ ℕ ∪ {0}). We obtain sharp upper bound for the Fekete-Szegö functional |a3-𝜇a22| when 𝜇 ∈ ℝ. We also generalize our result for 𝜇 ∈ ℂ.

Studies on Sex-linked Inheritance of Quantitative Characters in Direct and Reciprocal Crosses of Silkworm Bombyx mori L.

  • Reddy, N.Mal;Basavaraja, H.K.;Dar, A.K.;Kumar, N.Suresh;Dandin, S.B.
    • International Journal of Industrial Entomology and Biomaterials
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    • v.7 no.1
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    • pp.15-20
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    • 2003
  • The present investigation was carried out to study the possible cause for reciprocal difference in silkworm hybrids. By utilising the polyvoltine race Pure Mysore (PM) and newly evolved breeds (CSR2, CSR5, CSR16 and CSR17), the direct and reciprocal crosses of polyvoltine ${\times}$ bivoltine and also bivoltine hybrids were studied. The hybrids of polyvoltine ${\times}$ bivoltine (direct) are superior to their reciprocal crosses in respect of cocoon yield, cocoon weight and filament length. The reciprocal crosses of polyvoltine ${\times}$ bivoltine are superior to their direct crosses in respect of fecundity and short larval duration. No significant differences were observed in the characters like cocoon shell ratio, raw silk percentage, denier, reelability and neatness in both polyvoltine ${\times}$ bivoltine direct crosses and their reciprocals. The expression of cocoon characters as a function of sex revealed that direct crosses (polyvoltine ${\times}$ bivoltine) showed higher cocoon weight, pupal weight, shell weight and longer filament length in females than the reciprocal crosses (bivoltine ${\times}$ polyvoltine), where as these characters in males were almost the same in both direct and reciprocal crosses, indicating that the sex-linked genetic factor played a more important role. it was clear that difference in cocoon yield observed in reciprocal crosses of polyvoltine ${\times}$ bivoltine was due to the low cocoon and shell weight in females which was turn due to presence of early maturity genes (Lme) linked with sex-chromosome (X) which effect on larvae period of the silkworm. In bivoltine hybrids, i.e., both direct and their reciprocals crosses, all the characters viz., hatching percentage, larval duration, survival, cocoon weight, cocoon shell weight, cocoon shell ratio, raw silk percentage, filament length, denier, reelability and neatness did not show any significant difference (except number of eggs laid by moth) which could account for presence of same maturity genes (Lm) in both direct and reciprocal crosses. it was clear that reciprocal differences occur when the hybrids are prepared from the parental strains with different voltinism.

Semi-analytical solutions for optimal distributions of sensors and actuators in smart structure vibration control

  • Jin, Zhanli;Yang, Yaowen;Soh, Chee Kiong
    • Smart Structures and Systems
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    • v.6 no.7
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    • pp.767-792
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    • 2010
  • In this paper, the optimal design of vibration control system for smart structures has been investigated semi-analytically via the optimization of geometric parameters like the placements and sizes of piezoelectric sensors and actuators (S/As) bonded on the structures. The criterion based on the maximization of energy dissipation was adopted for the optimization of the control system. Based on the sensing and actuating equations, the total energy stored in the system which is used as the objective function was analytically derived with design variables explicitly presented. Two cases of single and combined vibration modes were addressed for a simply supported beam and a simply supported cylindrical shell. For single vibration mode, the optimal distributions of the piezoelectric S/As could be obtained analytically. However, the Sequential Quadratic Programming (SQP) method has to be employed to solve those which violated the prescribed constraints and to solve the case of combined vibration modes. The results of three examples, which include a simply supported beam, a simply supported cylindrical shell and a simply supported plate, showed good agreement with those obtained by the Genetic Algorithm (GA) method. Moreover, in comparison with the GA method, the proposed method is more effective in obtaining better optimization results and is much more efficient in terms of computation time.

Cosmeceutical activities and Anti-inflammatory effects of Shell from Persicae semen (도인(桃仁) 껍질의 화장품약리활성 및 항염 효과)

  • Joe, Woo-A;Jang, Min-Jung;Cheon, Soon-Ju;Sung, Ji-Yeun;Choi, Eun-Young;Kang, Bo-Yeon;Jung, Su-Hyun;Jeung, Yeun-Suck;Kim, Young-Sun;An, Bong-Jeun;Lee, Chang-Eon;Lee, Jin-Tae
    • The Korea Journal of Herbology
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    • v.21 no.2
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    • pp.87-93
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    • 2006
  • Objectives : In this paper, we tested the applicability of shell from Persicae semen in cosmetics through cosmeceutical activities including anti-oxidant, tyrosinase inhibition and anti-inflammatory effects. Methods : Persicae semen, which had been extracted, concentrated, and freeze drying with water and ethanol, have been used for the experiment. The effects on electronic donating ability, SOD-like activity, xanthine oxidase inhibition, whitening effect have been investigated in the cosmeceutical activity measurement of function experiment. Results : In the electron donating ability test, 1,000ppm of EPS (ethanol extract of shell from Persicae semen) showed an effect of 87%. SOD-like activities showed 93% at the 10,000ppm of WPS (water extract of shell from Persicae semen). In the xanthine oxidase inhibition test, 1,000ppm of BHA showed an effect of 27%, while EPS showed an effect of 62%. We were able to get an effect of 95% from EPS at 10,000 ppm in the tyrosinase inhibition test. In the anti-inflammatory test, the EPS inhibited the generation of nitric oxide. In the case of the EPS, there were no signs of cytotoxicity against raw 264.7 and anti-inflammatory effects could be identified when the manifestation of iNOS was decreased. Conclusion : Therefore, the EPS has potential as an effective raw materials for cosmetic.

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