Abstract:2
AbstractThe design of navigation lock gates requires to account for accidental loads such as ship impacts or earthquakes, but it is quite difficult to handle with them. The most satisfactory way to investigate their effects is to perform numerical simulations. Such an approach can be justified at the late design stage, but it is quite commonly accepted that it is not well suited during the conception process. This may be justified by the calculation and modeling efforts that are usually prohibitive. Conseque… Show more
“…By applying equation (2) to the four types mentioned here above, it is possible to find closed-form expressions in each case. As this operation is quite fastidious, it is not reported here, but additional information on this topic may be found in the literature (see references [5] to [10] for example). -a super-element remains inactive ( 0) as long as a geometrical contact is not established with the striking bow.…”
Section: Local Resistancementioning
confidence: 99%
“…The latter may be directly expressed as a function of the mechanical and geometrical properties of the structure, but for convenience, they are simply denoted here by . More details about their analytical derivation can be found in references [10] and [16]. As is a force per unit of area, the corresponding external work is:…”
Section: Dynamic Analysis Of the Gatementioning
confidence: 99%
“…Of course, during this overall motion, each of the girders opposes an individual resistance , which can be simply evaluated by using the classical bending theory of beams in both the elastic and plastic regimes. For conciseness, the analytical derivation of will not be presented here but additional details may be found in [10]. Furthermore, as the horizontal girders are assumed to be independent, the global resistance may be again calculated by summing all the contributions .…”
Section: Global Resistancementioning
confidence: 99%
“…In these two expressions, it is also worth mentioning that and translates the effects of the mass and the stiffness of the gate, while and are related to the flexible and rigid pressures. Of course, all these parameters may be evaluated analytically [10], but for conciseness, the corresponding detailed relations are not provided here. 18 Finally, in accordance with the virtual work principle, and may be equated to get a set of equations that may be written in the following matrix form: (20) in which is a vector containing the unknown coefficients .…”
Section: Dynamic Analysis Of the Gatementioning
confidence: 99%
“…Introducing (5) in equations (7) to (10), it is possible to get matrix formulations for and . If is the vector containing the unknown coefficients mentioned in equation (5), it could be shown that [10]:…”
Section: Free Vibration Analysis Of the Dry Gatementioning
This paper presents two simplified analytical methods to analyze lock gates submitted to two different accidental loads. The case of an impact involving a vessel is first investigated. In this situation, the resistance of the struck gate is evaluated by assuming a local and a global deforming mode. The super-element method is used in the first case, while an equivalent beam model is simultaneously introduced to capture the overall bending motion of the structure. The second accidental load considered in this paper is the seismic action, for which an analytical method is presented to evaluate the total hydrodynamic pressure applied on a lock gate during an earthquake, due account being taken of the fluid-structure interaction. For each of these two actions, numerical validations are presented and the analytical results are compared to finite-element solutions.
“…By applying equation (2) to the four types mentioned here above, it is possible to find closed-form expressions in each case. As this operation is quite fastidious, it is not reported here, but additional information on this topic may be found in the literature (see references [5] to [10] for example). -a super-element remains inactive ( 0) as long as a geometrical contact is not established with the striking bow.…”
Section: Local Resistancementioning
confidence: 99%
“…The latter may be directly expressed as a function of the mechanical and geometrical properties of the structure, but for convenience, they are simply denoted here by . More details about their analytical derivation can be found in references [10] and [16]. As is a force per unit of area, the corresponding external work is:…”
Section: Dynamic Analysis Of the Gatementioning
confidence: 99%
“…Of course, during this overall motion, each of the girders opposes an individual resistance , which can be simply evaluated by using the classical bending theory of beams in both the elastic and plastic regimes. For conciseness, the analytical derivation of will not be presented here but additional details may be found in [10]. Furthermore, as the horizontal girders are assumed to be independent, the global resistance may be again calculated by summing all the contributions .…”
Section: Global Resistancementioning
confidence: 99%
“…In these two expressions, it is also worth mentioning that and translates the effects of the mass and the stiffness of the gate, while and are related to the flexible and rigid pressures. Of course, all these parameters may be evaluated analytically [10], but for conciseness, the corresponding detailed relations are not provided here. 18 Finally, in accordance with the virtual work principle, and may be equated to get a set of equations that may be written in the following matrix form: (20) in which is a vector containing the unknown coefficients .…”
Section: Dynamic Analysis Of the Gatementioning
confidence: 99%
“…Introducing (5) in equations (7) to (10), it is possible to get matrix formulations for and . If is the vector containing the unknown coefficients mentioned in equation (5), it could be shown that [10]:…”
Section: Free Vibration Analysis Of the Dry Gatementioning
This paper presents two simplified analytical methods to analyze lock gates submitted to two different accidental loads. The case of an impact involving a vessel is first investigated. In this situation, the resistance of the struck gate is evaluated by assuming a local and a global deforming mode. The super-element method is used in the first case, while an equivalent beam model is simultaneously introduced to capture the overall bending motion of the structure. The second accidental load considered in this paper is the seismic action, for which an analytical method is presented to evaluate the total hydrodynamic pressure applied on a lock gate during an earthquake, due account being taken of the fluid-structure interaction. For each of these two actions, numerical validations are presented and the analytical results are compared to finite-element solutions.
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