Research Article

Geometric Mapping for Non-Rectangular Plates with Micro/Nano or Macro Scaled under Different Effects

Volume: 11 Number: 3 November 13, 2019
EN

Geometric Mapping for Non-Rectangular Plates with Micro/Nano or Macro Scaled under Different Effects

Abstract

The main purpose of this study is to give a perspective via discrete singular convolution,  differential quadrature (DQ) and harmonic differential quadrature (HDQ). For this purpose, DQ and HDQ methods are developed for the buckling, analysis of non-rectangular plates. Plates of, skew, shape is considered under axial loads. Furthermore, transformation formulations and some perspective for nano or macro scaled many problems with different effects discussed via discrete singular convolution and differential quadrature methods.

Keywords

References

  1. Bellman, R., Casti, J., Differential quadrature and long-term integration, Journal of Mathematical Analysis and Application, 34, 235-38, 1971.
  2. Bellman, R., Kashef, B.G., Casti, J., Differential Quadrature: A technique for the rapid solution of nonlinear partial differential equation, Journal of Computational Physics, 10, 40-52, 1972.
  3. Bert, C.W., Malik, M., The differential quadrature method for irregular domains and application to plate vibration, International Journal of Mechanical Science, 38(6), 589-606, 1996.
  4. Bert, C.W., Jang, S.K., Striz, A.G., Two new approximate methods for analyzing free vibration of structural components, AIAA Journal, 26(5), 612-18, 1987.
  5. Bert, C.W., Wang, Z., Striz, A.G., Differential quadrature for static and free vibration analysis of anisotropic plates, International Journal of Solids and Structure, 30(13),1737-44, 1993.
  6. Bert, C.W., Malik, M., Free vibration analysis of tapered rectangular plates by differential quadrature method: a semi- analytical approach, Journal of Sound and Vibration, 190(1), 41-63, 1996.
  7. Bert, C.W., Wang, Z., Striz, A.G., Convergence of the DQ method in the analysis of an isotropic plates, Journal of Sound and Vibration, 170(1), 140-44, 1994.
  8. Bert, C.W., Malik, M., Differential quadrature method in computational mechanics: a review, Applied Mechanics Review, 49(1), 1-28, 1996.

Details

Primary Language

English

Subjects

Engineering

Journal Section

Research Article

Authors

Kadir Mercan This is me

Publication Date

November 13, 2019

Submission Date

October 10, 2019

Acceptance Date

November 8, 2019

Published in Issue

Year 2019 Volume: 11 Number: 3

APA
Mercan, K., & Civalek, Ö. (2019). Geometric Mapping for Non-Rectangular Plates with Micro/Nano or Macro Scaled under Different Effects. International Journal of Engineering and Applied Sciences, 11(3), 445-454. https://doi.org/10.24107/ijeas.641211
AMA
1.Mercan K, Civalek Ö. Geometric Mapping for Non-Rectangular Plates with Micro/Nano or Macro Scaled under Different Effects. IJEAS. 2019;11(3):445-454. doi:10.24107/ijeas.641211
Chicago
Mercan, Kadir, and Ömer Civalek. 2019. “Geometric Mapping for Non-Rectangular Plates With Micro Nano or Macro Scaled under Different Effects”. International Journal of Engineering and Applied Sciences 11 (3): 445-54. https://doi.org/10.24107/ijeas.641211.
EndNote
Mercan K, Civalek Ö (November 1, 2019) Geometric Mapping for Non-Rectangular Plates with Micro/Nano or Macro Scaled under Different Effects. International Journal of Engineering and Applied Sciences 11 3 445–454.
IEEE
[1]K. Mercan and Ö. Civalek, “Geometric Mapping for Non-Rectangular Plates with Micro/Nano or Macro Scaled under Different Effects”, IJEAS, vol. 11, no. 3, pp. 445–454, Nov. 2019, doi: 10.24107/ijeas.641211.
ISNAD
Mercan, Kadir - Civalek, Ömer. “Geometric Mapping for Non-Rectangular Plates With Micro Nano or Macro Scaled under Different Effects”. International Journal of Engineering and Applied Sciences 11/3 (November 1, 2019): 445-454. https://doi.org/10.24107/ijeas.641211.
JAMA
1.Mercan K, Civalek Ö. Geometric Mapping for Non-Rectangular Plates with Micro/Nano or Macro Scaled under Different Effects. IJEAS. 2019;11:445–454.
MLA
Mercan, Kadir, and Ömer Civalek. “Geometric Mapping for Non-Rectangular Plates With Micro Nano or Macro Scaled under Different Effects”. International Journal of Engineering and Applied Sciences, vol. 11, no. 3, Nov. 2019, pp. 445-54, doi:10.24107/ijeas.641211.
Vancouver
1.Kadir Mercan, Ömer Civalek. Geometric Mapping for Non-Rectangular Plates with Micro/Nano or Macro Scaled under Different Effects. IJEAS. 2019 Nov. 1;11(3):445-54. doi:10.24107/ijeas.641211

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