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Light Truck Frame Joint Stiffness Study Phase 1 Final Report

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JOINT STIFFNESS TOOLBOX<br />

Introduction<br />

A design experiment was run using the Altair <strong>Study</strong>Wizard. These experiments included consideration of<br />

the linearity of the joint parameters and the interactions between them on the joint stiffness. The<br />

mathematical response of each joint was programmed into an Excel spreadsheet. Designers and<br />

engineers will be able to enter joint dimensions, thickness, and any discrete variables simulated in the<br />

DOE, and obtain calculated joint stiffnesses. The Excel spreadsheet allows the user to input any joint<br />

definition that is within the DOE experiment range.<br />

The spreadsheets also contain Design Rules and Observations to be considered when making design<br />

decisions. The Design Rules were created from finite element and sensitivity analysis data to help make<br />

stiffer joints. For example, in the case of <strong>Joint</strong>s 1 and 3, where the crossmember is a round section, the<br />

design rules included two points: making the tube diameter as large as possible, and making the tube<br />

thickness as thick as large as possible. The <strong>Joint</strong> Observations contained information regarding joint<br />

deflection and welding information stemming from the analytical results.<br />

An example overview of the spreadsheet is shown in Figure 31. The spreadsheet for each of the joints is<br />

shown in Figures 32 through 41 with two figures for each joint; the first figure shows the input and<br />

calculated results for the joint stiffness, and the second figure shows the joint observations, notes and<br />

design rules.<br />

<strong>Joint</strong> #1: Tube Through Tube<br />

<strong>Stiffness</strong> Calculations<br />

Input (mm)<br />

Test Design Window<br />

Design Variables (mm) Case 1 Case 2 <strong>Joint</strong> Min (mm) Max (mm)<br />

Thickness<br />

Crossmember 2.5 2.5 2.5 2 6<br />

Side Rail 2.8 2.8 2.8 2 6<br />

Shape<br />

Animations Shape Variables (mm)<br />

animations\JCrossmember Diameter 57 57 57 50 100<br />

animations\JSide Rail Height 125 125 125 75 150<br />

animations\JSide Rail Width 125 125 125 75 150<br />

Output<br />

Loading<br />

Animations <strong>Stiffness</strong> Calculations Case 1 Case 2<br />

Test<br />

<strong>Joint</strong><br />

Units<br />

animations\JKx Bending <strong>Stiffness</strong> (Mx) 3.235 3.235 3.477 kN-m/deg<br />

animations\JKy Torsion <strong>Stiffness</strong> (My) 3.271 3.271 12.715 kN-m/deg<br />

animations\JKz Fore/Aft <strong>Stiffness</strong> (Mz) 3.507 3.507 3.662 kN-m/deg<br />

Illustration Key:<br />

A = Side Rail<br />

B = Crossmember<br />

Design Rules:<br />

* Make the crossmember diameter as<br />

large as possible.<br />

* Make the crossmember as thick as<br />

possible.<br />

* Thickness and diameter of the<br />

crossmember should be increased<br />

together if possible.<br />

<strong>Joint</strong> Observations:<br />

* The crossmember is the most<br />

important part of this joint. The thickness<br />

of the crossmember is 3X more sensitive<br />

than the thickness of the side rail.<br />

* The maximum stress is in the<br />

crossmember at the connection to the<br />

inner side rail for all 3 <strong>Stiffness</strong> Cases.<br />

* The outer weld (the crossmember to<br />

outer side rail) could be a partial weld<br />

because this section of the joint has low<br />

stress.<br />

Notes:<br />

* Modify the input values (yellow) based on<br />

your design criteria. There are two columns<br />

in which in to input and evaluate data, case 1<br />

and case 2. The calculated stiffness will be<br />

displayed in red.<br />

* Design variables are listed in order of<br />

influence on stiffness.<br />

* Click on the animation to the left of the<br />

variables and loading conditions to see an<br />

animation of respective shape variable or<br />

loading condition.<br />

* The mass calculation is based on 150 mm<br />

extension of joint members from the side rail<br />

to crossmember interface. (The crossmember<br />

is 150mm from the joint interface to the end of<br />

the crossmember). This caluclation is to serve<br />

as a reference, not the absolute value.<br />

* The password to unprotect cells in this<br />

spreadsheet is: steel.<br />

Mass 4.801 4.801 4.801 kg<br />

Yellow cells are user input data.<br />

Red cells are calculated numbers.<br />

Figure 31: Example of the <strong>Joint</strong> <strong>Stiffness</strong> Toolbox Spreadsheet<br />

<strong>Report</strong>: A/SP-005-1 <strong>Light</strong> <strong>Truck</strong> <strong>Frame</strong> <strong>Joint</strong> <strong>Stiffness</strong> <strong>Study</strong> 58

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