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16.4 Aircraft Costing Methodology: Rapid-Cost Model

533

Table 16.6. Manufacturing cost components

Cost of materials (raw and finished product)

Cost of parts manufacture

Cost of parts assembly to finish the product

Cost of support (e.g., rework/concessions/quality)

Amortization of nonrecurring costs

Miscellaneous costs (other direct costs, contingencies)

For dissimilar components, a similar methodology can still be applied with extensive data analyses to establish the appropriate indices.

Although the aerodynamic mould lines of both nacelles are similar, their structural design philosophy – hence, the subassembly (i.e., tooling concept) – differs. With commonality in the design family, the study presents a focused comparative study of the two geometrically similar nose cowls in a complex multidisciplinary interaction that affects cost. The total manufacturing cost of the finished product is the sum of the items listed in Table 16.6; the cost of manufacture is not the selling price.

Generic nacelles typically represent the investigative areas associated with the design and manufacture of other aircraft components (e.g., the wing and fuselage). The rapid-cost-model methodology presented herein can be applied to all other aircraft components, with their appropriate cost drivers, to establish the cost of a complete aircraft. Industrial shop-floor data are required to estimate the cost in dollars. All data are normalized to keep proprietary information commercial in confidence.

16.4.1 Nacelle Cost Drivers

Given herein are the eleven specific parameters, in two groups, identified as the designand manufacture-sensitive cost drivers for generic nacelles. These cost drivers are applicable to all four nacelle subassembly components shown in Figure 16.3. Group 1 consists of eight cost drivers, which relate to in-house data within an organization. Group 2 cost drivers are not concerned with in-house capability issues; therefore, they are not within the scope of this discussion. Indices and coefficients obtained during the DFM/A study are used.

Group 1

1.Size: Nacelle size is the main parameter in establishing the base cost. Size and weight are correlated. The nacelle cowl size depends on the engine size – that is, primarily the fan diameter (DF) of the engine – which in turn depends on the thrust (TSLS) ratings as a function of BPR and the thermodynamic cycle. The relationship between the TSLS and the Dfan can be expressed as follows:

 

=

(TSLS) = KDfan2

(16.1)

where K

constant of proportionality.

 

 

The variants in the family of turbofans are the result of tweaking the baseline design, keeping the core gas generator nearly unchanged. This improves cost effectiveness by maintaining component commonality. Hence, the variant fan diameter is marginally affected, with the growth variant having a better

534

Aircraft Cost Considerations

Figure 16.4. Cost versus tolerance

thrust-to-dry-weight ratio (T/W) and vice versa. As a consequence, the nacelle maximum diameter (Dmax) and length (L) change minimally. The size factor for the nacelle, Ksize, that affects cost is given in semi-empirical form, as follows:

 

(Dfan

Dmax)derivative

 

 

Lderivative

 

 

TSLS derivative

 

0.35

 

 

 

 

 

 

 

Ksize =

×

 

 

×

 

 

×

 

 

(16.2)

(Dfan

Dmax)baseline

Lbaseline

TSLS baseline

 

×

 

 

 

 

 

 

 

 

 

The effect of size on parts-fabrication and assembly costs is less pronounced than material cost unless a large size calls for drastically different fabrication and assembly philosophies.

2.Materials: Parts weight data provide a more accurate material cost than applying the size factor; Ksize may be used when weight details are not available. Two types of material are considered based on industrial terminology: raw and finished; the latter consists of the subcontracted items.

3.Geometry: The double curvature at the nacelle surface requires stretch-formed sheet metal or a complex mould for composites in shaping the mould lines. Both nacelles are symmetrical to the vertical plane. The nacelle-lip cross-section is necessarily of the aerofoil section with the crown cut, thinner than the keel cut, where engine accessories are housed (Figure 16.4). This does not make the outer and inner surfaces concentric. Straight longitudinal and circumferential joints facilitate the auto-riveting. In brief, there are four “Cs” associated with geometric cost drivers: circularity, concentricity, cylindricity, and commonality. Nacelles A and B are geometrically similar and therefore do not show any difference made by the four C considerations. A geometric cost-driver index of 1 is used for both nacelles as a result of their similarity.

4.Technical Specifications: These standards form the finishing and maintainability of the nacelle including the surface-smoothness requirements (i.e., manufacturing tolerance at the surface), safety issues (e.g., fire detection), interchangeability criteria, and pollution standards. Figure 16.4 shows the cost-versus-tolerance relationship from [2].

At the wetted surface, Zone 1 (Figure 16.5) is in an adverse pressure gradient that requires tighter tolerances compared to Zone 2 in a favorable pressure

16.4 Aircraft Costing Methodology: Rapid-Cost Model

535

Figure 16.5. Typical nacelle section

gradient. The tighter the tolerance at the wetted surface, the higher is the cost of production due to the increased reworking and concessions involved. Because the technical specifications are similar, both have an index of 1.

5.Structural Design Concept: Component-design concepts contribute to the cost drivers and is a NRC amortized over the production run (typically, four hundred units). The aim is to have a structure with a low parts count involving low production manhours. Compared to the baseline design of Nacelle A, an index factor is associated with the derivative new design. Nacelle B has a more involved design with an index greater than 1. Manufacturing considerations are integral to structural design as a part of the DFM/A requirements.

6.Manufacturing Philosophy: This is closely linked to the structural-design concept, as described previously. There are two components of the cost drivers:

(1) the NRC of the tool and jig design, and (2) the recurring cost during production (i.e., parts manufacture and assembly). An expensive tool setup for the rapid-learning process and a faster assembly time with lower rejection rates (i.e., concessions and reworking) results in a front-loaded budgetary provision, but considerable savings can be realized. Nacelle B has a NRC index >1 and a RC index <1. Nacelle B is an improvement compared to Nacelle A.

7.Functionality: This is concerned with the enhancements required compared to the baseline nacelle design, including anti-icing, thrust reversing, treatment of environmental pollution (e.g., noise and emissions), position of engine accessories, and bypass-duct type. A “complexity factor” is used to describe the level of sophistication incorporated in the functionality. Being in the same family, the nose cowl of both nacelles has the same functionality – hence, a factor of 1 – otherwise, it must be revised. Other nacelle components could differ in functionality.

8.Manhour Rates and Overhead: Manhour rates and overhead are constant for both nacelles; therefore, the scope of applicability is redundant in this study.

Group 2 (These do not relate to in-house issues; therefore, it is not considered in this book.)

9.Role: Basically, this describes the difference between military and civil aircraft design.

10.Scope and Condition of Supply: This is concerned with the packaging quality of a nacelle supplied to a customer; it is not a design or manufacturing issue.

11.Program Schedule: This is an external cost driver that is not discussed herein.

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