Transactions of the Korean Society of Mechanical Engineers A (대한기계학회논문집A)

The Korean Society of Mechanical Engineers (대한기계학회)
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An Investigation of Dynamic Characteristics of Structures Subjected to Dynamic Load from the Viewpoint of Design

동하중을 받는 구조물의 동적특성에 관한 설계 관점에서의 고찰

  • Published : 2006.10.01
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Abstract

All the loads in the real world are dynamic loads and structural optimization under dynamic loads is very difficult. Thus the dynamic loads are often transformed to static loads by dynamic factors, which are believed equivalent to the dynamic loads. However, due to the difference of load characteristics, there can be considerable differences between the results from static and dynamic analyses. When the natural frequency of a structure is high, the dynamic analysis result is similar to that of static analysis due to the small inertia effect on the behavior of the structure. However, if the natural frequency of the structure is low, the inertia effect should not be ignored. Then, the behavior of the dynamic system is different from that of the static system. The difference of the two cases can be explained from the relationship between the homogeneous and the particular solutions of the differential equation that governs the behavior of the structure. Through various examples, the difference between the dynamic analysis and the static analysis are shown. Also dynamic response optimization results are compared with the results with static loads transformed from dynamic loads by dynamic factors, which show the necessity of the design considering dynamic loads.

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References

  1. Kang, B.S., Choi, W.S. and Park, GJ., 2000, 'Structural Optimization under Equivalent Static Loads Transformed from Dynamic Loads Based on Displacement,' Transactions of the KSME(A), Vol. 24, No.8, pp. 1949-1957
  2. Wen, H.M., Reddy, T.Y. and Reid, S.R., 1995, 'Deformation and Failure Clamped Beams under Low Speed Impact Loading,' International Journal of Impact Engineering, Vol. 16, No.3, pp. 435-454 https://doi.org/10.1016/0734-743X(94)00055-2
  3. Chen, X. and Kareem, A., 2001, 'Equivalent Static Wind Loads for Buffeting Response of Bridge,' Journal of Structural Engineering, Vol. 127, No. 12, pp. 1467-1475 https://doi.org/10.1061/(ASCE)0733-9445(2001)127:12(1467)
  4. Zhang, Q.L., Vrouwenvelder, A. and Wardenier, J., 2001, 'Dynamic Amplification Factors and EUDL of Bridges under Random Traffic Flows,' Engineering Structures, Vol. 23, No.6, pp. 663-672 https://doi.org/10.1016/S0141-0296(00)00077-8
  5. Letchford, C.W and Killen, GP., 2002, 'Equivalent Static Wind Loads for Cantilevered Grandstand Roofs,' Engineering Structures, Vol. 24, No.2, pp. 207-217 https://doi.org/10.1016/S0141-0296(01)00085-2
  6. Choi, W.S., Kang. S.C., Shin. MJ. and Park. GJ., 1996, 'Transformation of a Dynamic Load into an Equyivalent Static Load and Shape Optimization of the Road Arm in Self-Propelled Howitzer,' Transactions of the KSME(A), Vol. 20, No. 12, pp. 3767-3781
  7. Park, K.J., Lee. J.N. and Park. GJ., 2003, 'Structural Shape Optimization under Static Loads Transformed from Dynamic Loads,' Transactions of the KSME(A), Vol. 27,No. 8, pp. 1363-1370 https://doi.org/10.3795/KSME-A.2003.27.8.1363
  8. Thomson, WT., 1993, Theory of Vibration with Applications, Prentice-Hall International, New Jersey, U.S.A
  9. Erwin, K., 1999, Advanced Engineering Mathematics, John Willy and Sons INC, New York, U.S.A
  10. Choi, W.S., Kang, B.S. and Park, G.J., 1998, 'Transformation of Dynamic Loads into Equivalent Static Loads Based on Modal Analysis,' Transactions of the KSME(A), Vol. 22, No.7, pp. 1193-1204
  11. Choi, WS. and Park, GJ., 2000, 'Quasi-Static Structural Optimization Technique Using Equivalent Static Loads Calculated at Every Time Step as a Multiple Loading Condition,' Transactions of the KSME(A), Vol. 24,No. 10, pp. 2568-2580
  12. Park, G.J. and Kang, B.S., 2003, 'Mathematical Proof for Structural Optimization with Equivalent Static Loads Transformed from Dynamic Loads,' Transactions of the KSME(A), Vol. 27, No.2, pp. 268-275 https://doi.org/10.3795/KSME-A.2003.27.2.268
  13. Kang, B.S. and Park, GJ., 2005, 'An Overview of Optimization of Structures Subjected to Transient Loads,' Transactions of the KSME(A), Vol. 29, No.3, pp. 369-386 https://doi.org/10.3795/KSME-A.2005.29.3.369
  14. Kang, B.S. and Park, GJ., 2004, 'Optimization of Flexible Multibody Dynamic Systems Using Equivalent Static Load Method,' Transactions of the KSME(A), Vol. 28, No.1, pp. 48-54 https://doi.org/10.3795/KSME-A.2004.28.1.048