System Reliability Theory. Marvin Rausand
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3.3 Faults
The term fault is mentioned in Section 3.2, but without a proper definition. We define a fault as:
Definition 3.2 (Fault of an item)
A state of an item, where the item is not able to perform as required.
The duration of the fault may range from negligible to permanent. There are two main types of faults.
Type 1 fault is a fault that occurs as a consequence of a failure. The failure causes a transition from a functioning state into a fault, which is also called a failed state. In Example 3.4, the failure of the light bulb left the bulb in a state where it cannot give light. In this example, the bulb has to be replaced to function again.
Type 2 fault is a fault that is introduced in the item due to human error or misjudgment in the specification, design, manufacture, transportation, installation, operation, or maintenance of the item. This type of fault enters the item without any preceding item failure and is a dormant fault that remains hidden until the item is activated or inspected. A type 2 fault is also called a systematic fault. A software bug is a typical example of such a fault. Another example is faults caused by design errors or installation errors.
3.4 Failure Modes
We define a failure mode of an item as:
Definition 3.3 (Failure mode)
The manner in which a failure occurs, independent of the cause of the failure.
A failure mode is a description of how a failure occurs but does not say anything about why the failure occurred. Example 3.8 illustrates how the failure mode concept is usually interpreted.
Example 3.8 (Failure modes of a sink faucet)
Consider a sink faucet used in a bathroom. The main functions of the faucet are to open/close the water supply, to contain the water, and to regulate the water temperature and flow. We consider only the faucet (the item) and assume that cold and hot water are available.
The faucet may have a number of failure modes. Among these are:
1 Fail to open (on demand) and supply water
2 Fail to close (on demand) and stop the flow of water
3 Leakage through the faucet (i.e. dripping)
4 Leakage out (from faucet seals)
5 Fail to regulate water flow
6 Fail to regulate temperature
The faucet has two main states, closed and open. The first two failures (1 and 2) occur during intended transitions between these states. The next two failure modes (3 and 4) occur in a state. For these failure modes, the faucet is in a state where it is leaking and not able to perform as required. The two last failure modes (5 and 6) may be interpreted to be somewhere between the two other types.
Example 3.9 shows that a failure mode sometimes describes the “manner by which a failure occurs” and sometimes the “manner by which a fault is present.”
Example 3.9 (Electric doorbell)
A simple doorbell system is shown in Figure 3.4. The pushbutton activates a switch that closes a circuit from a battery to a solenoid that activates a clapper, which again makes sound by hammering on a bell. When your finger is lifted from the pushbutton, the switch should open, cut the circuit, and thereby stop the doorbell sound. The following failure modes may be defined:
Figure 3.4 Doorbell and associated circuitry.
1 No sound when the pushbutton is activated (by a finger.)
2 Doorbell sound does not stop when finger is lifted from pushbutton.
3 Doorbell sounds without activating the pushbutton.
A similar doorbell system is analyzed in NASA (2002).
3.5 Failure Causes and Effects
A failure mode is generally caused by one or more failure causes and may result in a failure effect, as shown in Figure 3.5.
Figure 3.5 Relation between failure causes, failure modes, and failure effects.
3.5.1 Failure Causes
All failures have at least one cause. We define failure cause as follows.
Definition 3.4 (Failure cause)
Set of circumstances that leads to failure.
The failure cause may originate during specification, design, manufacture, installation, operation, or maintenance of an item (IEV 192‐03‐11). The failure cause may be an action, an event, a condition, a factor, a state, or a process that is – at least partly – responsible for the occurrence of a failure. To be responsible for a failure, the cause must be present before the failure occurs, and the presence of the cause should increase the likelihood of the failure.
When studying several similar failures, we should see a positive correlation between the presence of the cause and the occurrence of the failure(s), but positive correlation is not a sufficient condition for claiming that something is a cause of a failure. It is very easy to find correlated factors that are totally unrelated. The correlation may, for example, be that the two factors are both caused by the same third factor. Causality is a complicated philosophical subject. A lot more information may be found by searching the Internet. The authors especially recommend consulting (Pearl 2009).
Several failure analysis techniques have been developed to identify the causes of a failure that has occurred. Among