crashworthiness of the douro waterway lock gates and ... and maximum allowable stresses are defined...
TRANSCRIPT
1
Crashworthiness of the Douro Waterway Lock Gates
And Potential Improvements
André S. G. T. Farinha
Mechanical Engineering Department
Instituto Superior Técnico, Universidade de Lisboa, Portugal
November, 2016
ABSTRACT
The increasing traffic in the Douro waterway and the prospect of reopening the Moncorvo iron mines
have settled the conditions for starting the preliminary works on the modernisation of the waterway.
Since the construction of the Douro river lock gates, the mass of the ships navigating the waterway have
increased from a maximum of 2200 tons to 2900 tons, so the evaluation of the lock gates’
crashworthiness to ship impacts needs to be updated to the current navigation conditions. A methodology
to solve the impact problem is firstly defined in terms of simulation type, geometry definition, impact
location, material model and contact model. This methodology is then applied to the Carrapatelo
upstream lock gate and using the Abaqus/Explicit solver, finite element dynamics simulations were
performed to evaluate the response of the lock gate to impacts by two different ships at variable water
levels. The greatest risk associated with the impacts is pondered to be the possibility of the gate falling
into the lock chamber, or that its deformation is enough for a large mass of water to fall into the lock
chamber. In order to evaluate this, a series of criteria that quantify the damage delivered to the lock gate
and its supports are defined. The obtained results show that the damage in the lock gate is not sufficient
for the occurrence of a hazard with possible loss of life. However, for one of the impact cases, the
reaction force on the chains that connect the gate to the electromechanical actuators was equivalent to
3.6 times the expected load from the weight of the gate, which is believed to be dangerous for the
operation of the lock. Finally, the possibility of using an energy dissipating mechanism to reduce the
damage in the lock gate is evaluated, and the results show good improvement on that course.
Keywords: Crashworthiness, Metal structures, Lock gate, Finite elements, Fracture modelling
1 INTRODUCTION
The lock is an important infrastructure for inland water navigation. Due to high flow rates, without human
intervention, inland waterways (rivers, lakes, canals, et cetera) are at best seasonally navigable for
commercial purposes. By constructing dams the flow rate can be controlled, leading to safer navigation.
This creates yet another problem which is that ships need to navigate through the water head created by
the dam. In order to permit this, a chamber with changeable water depth, occupying a small portion of the
dam, raises and lowers the ship inside it (Figure 1.1). This procedure places the ship at the same water
level as the portion of the river it needs to travel to, allowing its safe passage.
In a simplistic form, a lock is composed by a chamber (where the water level can be varied), one
upstream and one downstream gate and two valves. In advance to a vessel approaching a lock, the water
level in the chamber should be the same as the water level where the vessel is. For a vessel traveling
downstream, the upstream gate is then opened and once the vessel is inside the chamber, it is closed. By
actuating a valve, the water in the chamber flows through gravity to the downstream part of the waterway,
up to the point that the water level in the chamber is the same as downstream. The downstream gate may
then be opened so that the vessel may proceed.
2
Figure 1.1: Longitudinal cut of simplistic navigation lock system with a ship travelling downstream.
After the water level in the chamber is equalised with the downstream level, the downstream gate is
pulled up and the ship passes bellow the concrete wall.
There are three main types of lock gates used in commercial navigation: the sliding gates, the vertical
gates and the mitre gates which appear to be the preferred option in most of the waterways. These gates
are quite well described by (Daniel, 2000), we are interested in particular in the vertical gates as the lock
gates in the Carrapatelo lock are of this type. The upstream gate of the vertical drop type (Figure 1.2), the
gate is lowered when being opened, while the downstream one is of the vertical lift type (Figure 1.3) and
so the gate is lifted when being opened.
Figure 1.2: Upstream lock gate in closed
position.
Figure 1.3: Downstream lock gate in open
position.
We have witnessed in recent years a steady increase in tourism related traffic in the Douro waterway and
a renewed interest in reactivating the Moncorvo mines. This has created the necessary conditions so that
the first steps for the modernisation of the Douro waterway may be taken. As part of this modernisation
project, impact safety in the lock gates present along the waterway is being reviewed, since previous
studies regarding impact safety on the Douro lock gates date from 1970s. In these studies the maximum
mass of the considered ships was 2200 tons (Mota, 2012), but current directions impose that the vessels
navigating in the Douro waterway should not exceed a mass of 2500 tons (Administração dos Portos do
Douro, 2016), limit which is expected to be risen to 2900 tons in the near future. This escalation on the
mass of the ships navigating the Douro river urges that new studies should be conducted with the purpose
3
of certificating the lock gates for the new impact conditions. Besides that, current computational methods
can be useful in performing more detailed studies than the ones conducted in the 1970s.
The aim of this work is therefore to evaluate the performance of the existing lock gates on the Douro river
when impacted by recreational ships that currently navigate the river and by the ships expected to
transport the ore from the Moncorvo mines. In order to achieve this, a methodology to assess the
crashworthiness of the lock gates is developed, which is then employed, using the software
Abaqus/Explicit solver to evaluate the response of the Carrapatelo upstream lock gate to the impact of two
different ships. Besides that, some guidelines towards the improvement of the crashworthiness of these
structures are suggested.
1.1 Current Methods to Solve Ship Impacts on Lock Gates
Ship collision on lock gates is addressed in design codes such as the Engineering Manual EM 1110-2-
2703 that suggests empirical approaches where the dynamic load is converted to equivalent hydrostatic
loads and maximum allowable stresses are defined for different load cases. The German standards DIN
19704 and 19703 besides advising similar approaches, proposes the usage of impact energy dissipating
mechanisms with a minimum energy dissipation capacity of 1 MJ.
One possible option to simulate ship impacts on lock gates is to use an analytical method, which relies on
analytical solutions for the deformation of beams and shells to calculate the deformation of the structure.
These analytical models were created based on similar models used to simulate ship to ship impacts, in
fact, there is an extensive literature, when it comes to simulating ship to ship collisions, for example (Paik
and Pedersen, 1996), (Zhang, 1999), (Hong and Amdahl, 2008), (Tabri et al., 2009), (Liu and Amdahl,
2010), (Pedersen, 2010). These models where first applied to impacts on lock gates by (Le Sourne et al.,
2002) and have since been further developed: (Buldgen et al., 2012) and (Buldgen, 2014). Their work
reveal that it is a reliable and computationally fast tool, very useful during the pre-design stage of a gate,
but for more advanced design stages, other tools that can produce results with greater detail should be
used.
The finite element method is a very flexible tool when calculating the deformation of structures and can
be used to simulate ship impacts on lock gates, being the most reliable options quasi static-analysis and
dynamic analysis since the effect of the ship geometry is considered in both. Both simulation methods can
also take into account material nonlinearity and nonlinearities related to the large deformations on the
structure. The first is a non-linear static analysis where the ship acts as an indenter, the deformation
energy of the structure can be used to calculate the initial kinetic energy of the ship. This option is used
for example by (Gernay and Rigo, 2010) to enhance the crashworthiness of a lock gate design and by
(AbuBakar and Dow, 2013) for the crashworthiness assessment of different ship hull structures under
grounding damage. A dynamic analysis takes into account the dynamic effects of the impact and delivers
more detailed results such as the time evolution of the impact force, stresses and strains, displacements
and energy in the system. This simulation type is used by (Le Sourne et al., 2002) for the validation of the
developed analytical method and by (Hogström and Ringsberg, 2013) for the crashworthiness assessment
of different ship hull structures under different impact scenarios.
2 METHODS
This methodology will follow the general guidelines in (Ehlers et al., 2014), first a simulation method is
chosen to evaluate the ship impacts, then the geometry of the gate and impacting ships is defined,
followed by more specific properties of the model and the definition of the impact characteristics, at last
the criteria for the allowable level of damage are defined. Using the data from the simulations, the
damage on the lock gates is then evaluated in face of the defined criteria and simulations are created for
the chosen solutions.
For the purpose of obtaining more detailed results from the simulations, dynamic finite element analyses
are used. The software Abaqus/Explicit is used to create the models and the geometry is discretised using
the 2 dimensional S4R elements with 5 integration points through the thickness. The gate itself has a span
of 13 meters and 7 meters of height, divided into 5 elements (Figure 2.1) connected by a non-structural
sealant at the skin plate and by pin plates that transfer the vertical load between the diaphragms. The
mesh used consisted in quadrangular shell elements with the dimensions of the edges ranging between 50
mm and 30 mm.
4
Figure 2.1: Upstream lock gate front view.
As shown in Figure 2.2 each element is composed of a skin plate, horizontal girders, vertical girders and
diaphragms; the weight of the gate is supported by 2 chains connected to the top element diaphragms and
the hydrostatic load is transferred to the lock’s concrete structure through a series of rollers, also
connected to the diaphragms.
Figure 2.2: Structural elements that compose the Carrapatelo upstream lock gate.
The lowest 2 elements were not modelled in the finite element analysis to save computation time, the
diagonals where also excluded as their purpose is mostly to resist torsion and the rollers were introduced
as boundary conditions in the holes where they are connected. A full symmetry boundary condition was
introduced at the centre as it would not allow the folding of the central vertical girder.
Two ship hull geometries were used for the impact analysis, one is a cruise ship that currently navigates
the river and the other a pre-design geometry of a ship that will possibly transport the iron ore from
Moncorvo. As the reinforcing structure of the hulls was not available, the ships are modelled as rigid;
besides that, all the impacts considered occur at the centre of the gate because the width of the ships is
almost as great as the lock chamber’s. By aligning the normal water level in the gate with the ships’
draught line, the two impact cases shown in Figure 2.3 assume the normal water retention level in the
dam. The first case consists in the iron Ore cargo ship impacting at the Normal water retention Level
(ONL case) while the second consists in the Cruise ship impacting at the Normal water retention Level
(CNL case).
Figure 2.3: Impact cases with the normal water retention level in the dam for the iron ore cargo ship (a)
and cruise ship (b).
5
Impacts with higher retention level were considered because the water level may vary over the year, as
shown in Figure 2.4 two impacts are considered for the cruise ship and another for the cargo ship. The
iron Ore cargo ship impacts at the Highest water retention Level (OHL case), next the Cruise ship impacts
at the Highest water retention Level (CHL case) and finally the Cruise ship impacts at an Intermediate
water retention Level (CIL case).
Figure 2.4: Impact cases with higher than normal water retention level for the iron ore cargo ship (a) and
cruise ship (b) and (c), being (c) the intermediate water retention level.
The material used for the construction of the Carrapatelo lock gate observes the S355 – JR standard,
which is discriminated in the standard EN 10025-2:2004, European standard for hot-rolled structural
steel. The steel was modelled with an initial elastic range, an isotropic strain hardening range and a
damage evolution range, as shown in Figure 2.5. The ductile damage initiation criteria was used, with no
dependence on the strain rate or stress triaxiality, the damage evolution law is of the linear type and an
element for which the damage evolution function reaches one is eroded. The numerical values for Figure
2.5 are presented in Table 2.1.
Figure 2.5: True stress – true strain curve used to describe the construction steel for the Carrapatelo lock
gate.
Table 2.1: Material properties used to model the steel in the lock gate.
𝐸𝑌 𝜎𝑦 𝐸𝑇 𝜎𝑢 𝜀�̅� �̅�𝑓𝑝𝑙
L
Young
Modulus
Yield
Stress
Tangent
Modulus
Ultimate
Stress
Strain at
damage
initiation
Plastic
displacement
at failure
Reference
length
200 GPa 345 MPa 1.25 GPa 470 MPa 12 % 5.5 mm 30 mm
3 RESULTS
The main concern with the ship impacts on the lock gate is that the gate may be knocked out of its
supports and fall, along with all the water mass, into the lock chamber. This may happen by excessive
deformation of the gate, excessive damage to the rollers, or excessive damage to the hoisting chains. In
order to evaluate this, the reaction forces on the rollers and the hoisting chains are evaluated. Another
concern is that a considerably large breach may be opened in the skin plate, leading to a big mass of water
falling down into the lock chamber. This will be evaluated by tracking the occurrence of fracture and
plasticity in the skin plate.
For the purpose of evaluating the crashworthiness of the gate, the ratio between the energy dissipated
through irreversible deformations (plasticity and fracture) and the total energy dissipated in the impact is
evaluated. The ship intrusion depth and impact force evolution during the impact are also assessed and
6
correlated with the occurrence of local instabilities in the structure. Furthermore, the energy dissipated by
different elements of the lock gate structure is evaluated in order to get a feeling of the distribution of
loading through the entire structure.
A shown in Table 3.1 the impact cases that resulted in higher damage to the lock gate (ONL and CNL
cases) also lead to higher indentation, while the ones where the damage to the lock gate was less, lead to
higher impact forces, higher damage to the supports and to the skin plate.
Table 3.1: Values of maximum indentation in the lock gate, impact force, fracture energy, permanent
damage ratio, load transmitted to the rollers and damaged skin plate area obtained for the 5 considered
impact cases, where FE amount of energy dissipated as fracture during the impact and DR% is the
percentage of the ship’s initial kinetic energy dissipated through permanent deformation.
Impact Case ONL OHL CIL CHL CNL
FE 34.16 0.12 13.36 21.37 46.69
DR% 61.8 % 28.6 % 43.8 % 50.9 % 62.3 %
Maximum Indentation 276 mm 60 mm 81 mm 105 mm 255 mm
Impact Force 2.468 MN 10.54 MN 5.189 MN 4.247 MN 3.479 MN
Rollers Load 0.53 MN 1.37 MN 0.86 MN 0.79 MN 0.16 MN
Damaged Plate Area 0.44 m2 0.75 m
2 0.58 m
2 0.78 m
2 0.64 m
2
As shown in Figure 3.1 the behaviour of the structure is highly non-linear for the ONL and CNL impact
cases but more predictable for the other cases. For the ONL case it is visible how the folding of the plate
in the top triangular girder lead to a stagnation of the impact resisting force while the indentation
increases, similarly, for the CNL case the occurrence of fractures in the vertical girders leads to a
decrease in force.
Figure 3.1: Impact force as function of the indentation on the gate for the 5 impact cases. Details
showing local effects for the ONL and CNL impact cases.
The reaction force on the hoisting chains revealed to be significant only for the CNL impact case, the
value obtained was 1.25 MN, which corresponds to 3.6 times the load obtained from the static weight of
the lock gate.
7
In order to reduce the damage to the lock gate, one possible solution can be increasing its stiffness,
however the stiffened structure will lead to higher loadings on the supports, whose failure will lead to
disastrous consequences. Another option that can improve the gate’s response to an impact is to use an
energy dissipater, the ONL impact case was used to test the performance of such an option by attaching
such a device to its skin plate. This device was modelled by a cylinder built with tailored material
properties so that the behaviour of the cylinder would be equivalent to the energy dissipater studied by
(Xudong et al., 2012).
As shown in Figure 3.2 and Figure 3.3 the permanent damage is reduced drastically, this is achieved
because the damper dissipated 150 kJ, which corresponds to 42 % of the ship’s initial kinetic energy. This
is however much less than the 1 MJ that this damper was designed to dissipate, which is to be expected as
the test conditions do not take into account a deformable gate in series with the damper.
Figure 3.2: Deformed configuration for the
ONL impact case with a damper; in red the
areas where plasticity occurs.
Figure 3.3: In red the areas where plasticity
occurs for the ONL impact case.
4 CONCLUSIONS AND FUTURE WORK
The objective of this work was to evaluate the crashworthiness of the lock gates present along the Douro
river, taking into account its current navigation characteristics and near future developments.
The results showed that the damage in the lock gate is not sufficient for the occurrence of a hazard with
possible loss of life. However, for the case of the CNL impact, the reaction force on the hoisting chains
was equivalent to 3.6 times the expected load from the weight of the gate and may thus lead to its
fracture, obviously information on the chain itself will be necessary to actually evaluate if fracture occurs.
The choice of impact cases revealed to be quite varied and thus providing a set of different results that
provided some insight on how the impact location and ship geometry influence some of the damage
parameters. Among the parameters that vary with the impact cases, the impact location and ship hull
geometry are the ones that have greater influence on the results. This is visible in the CNL impact case
that although having considerably less kinetic energy than the ONL case and different ship hull geometry,
achieved similar values for maximum impact force and indentation.
The usage of an energy dissipating mechanism attached to the lock gate revealed to be quite effective in
reducing the damage in the lock gate consecutive to a ship impact and a better choice when compared to
the option of increasing the structure rigidity.
The methodology employed for these simulations should be altered if large scale simulation will be
carried out for all the lock gates in the river, quasi-static analysis is a much less time consuming approach
that will take into account important factors such as ship hull geometry and impact location.
Perhaps the most urgent work to be carried out on this subject is that information on the hoisting chains
and supporting rollers should be collected in order to evaluate if the forces transferred to it are dangerous
for the operation of the lock gate.
8
REFERENCES
ABUBAKAR, A. & DOW, R. S. 2013. Simulation of ship grounding damage using the finite element
method. International Journal of Solids and Structures, 50, 623-636.
ADMINISTRAÇÃO DOS PORTOS DO DOURO, L. E. V. D. C., SA. 2016. Navegação Comercial
[Online]. Available: http://douro.apdl.pt/index.php/pagina-exemplo/navegacao-comercial/
[Accessed 2nd July 2016].
BULDGEN, L. 2014. Simplified analytical methods for the crashworthiness and the seismic design of
lock gates. PhD, University of Liège.
BULDGEN, L., LE SOURNE & H. RIGO, P. 2012. Simplified Analytical Method for Estimating the
Resistance of Lock Gates to Ship Impacts. Journal of Applied Mathematics, 2012, 39.
DANIEL, R. A. 2000. Mitre gates in some recent lock projects in the Netherlands.
EHLERS, S., LE SOURNE, H., BULDGEN, L., OLLERO, J., ROBERTSON, C., BELA, A. & RIGO, P.
2014. Ship Collision On Lock Gates – Technical Solutions and Simulation Approaches. The 7th
International Conference on Thin-Walled Structures. Busan, Korea.
GERNAY, T. & RIGO, P. 2010. Analysis of ship impact on lock gates - Seine-Escaut Est Waterway.
Mathematical Modelling in Civil Engineering, 6.
HOGSTRÖM, P. & RINGSBERG, J. W. 2013. Assessment of the crashworthiness of a selection of
innovative ship structures. Ocean Engineering, 59, 58-72.
HONG, L. & AMDAHL, J. 2008. Crushing resistance of web girders in ship collision and grounding.
Marine Structures, 21, 374-401.
LE SOURNE, H., RODET, J. C. & CLANET, C. 2002. Crashworthiness analysis of a lock gate impacted
by two different river ships. International Journal of Crashworthiness, 7, 371-396.
LIU, Z. & AMDAHL, J. 2010. A new formulation of the impact mechanics of ship collisions and its
application to a ship–iceberg collision. Marine Structures, 23, 360-384.
MOTA, O. 2012. NAVEGAÇÃO NO RIO DOURO E TRANSPORTE FLUVIAL DO MINÉRIO DE
MONCORVO. Fórum Empresarial da Economia do Mar.
PAIK, J. K. & PEDERSEN, P. T. 1996. Modelling of the internal mechanics in ship collisions. Ocean
Engineering, 23, 107-142.
PEDERSEN, P. T. 2010. Review and application of ship collision and grounding analysis procedures.
Marine Structures, 23, 241-262.
TABRI, K., BROEKHUIJSEN, J., MATUSIAK, J. & VARSTA, P. 2009. Analytical modelling of ship
collision based on full-scale experiments. Marine Structures, 22, 42-61.
XUDONG, X., BASANT, K. P., Z., A. K. & RNORM, D. 2012. Impact analysis of an innovative shock
energy absorber and its applications in improving railroad safety 12th
International LS-DYNA
Users Conference. Washington.
ZHANG, S. 1999. The mechanics of ship collisions, Institute of Naval Architecture and Offshore
Engineering.