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The paper develops a rigorous mathematical framework for the behavior of arch and membrane like structures. Our main goal is to incorporate moving point loads. Both the weak and the strong damping cases are considered. First, we prove the existence and the uniqueness of the solutions. Then it is shown that the solution in the weak damping case is the limit of the strong damping solutions, as the strong damping vanishes. The theory is applied to a car moving on a bridge.
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참고문헌 (11)
참고문헌 신청
E. Emmrich / 2011 / A class of integro-differential equations incorpo-rating nonlinear and nonlocal damping with applications in nonlinear elastodynamics:existence via time d
J. Ha / 2014 / Stability of shallow arches under constant load / Internat. J. Non-Linear Mechanics 58 : 120 ~ 127
J. L. Lions / 1972 / Nonhomogeneous Boundary Value Problems nd Applica-tions / Springer
J. M. Ball / 1973 / Stability theory for an extensible beam / J. Differential Equations 14 : 399 ~ 418
J. S. Chen / 2006 / Effects of elastic foundation on the snap-through buckling of a shallow arch under a moving point load / Internat. J. Solids Structures 43 : 4220 ~ 4237
J. Ha / 2014 / Stability of shallow arches under constant load / Internat. J. Non-Linear Mechanics 58 : 120 ~ 127
J. L. Lions / 1972 / Nonhomogeneous Boundary Value Problems nd Applica-tions / Springer
J. M. Ball / 1973 / Stability theory for an extensible beam / J. Differential Equations 14 : 399 ~ 418
J. S. Chen / 2006 / Effects of elastic foundation on the snap-through buckling of a shallow arch under a moving point load / Internat. J. Solids Structures 43 : 4220 ~ 4237
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