Intel and Cranes to showcase NISA capabilities at the Intel Developer Forum, Bangalore, India (10th October 2006)

Demonstration of Direct Frequency Response (DFR) analysis of Engineering Structures using NISA powered with Intel® Math Kernel Library and Intel® Core™ 2 Duo processor

Direct Frequency Response (DFR) analysis of Engineering Structures using NISA powered with Intel® Math Kernel Library and Intel® Core™ 2 Duo processor

The DFR method is one of the most attractive engineering analysis techniques available to accurately predict the dynamic responses of structures under periodic/ harmonic loading conditions. Available only in a few select Finite Element Analysis (FEA) packages, the method is particularly useful for analyzing structural response due to high frequency harmonic excitations. Aerospace and automobile structures producing noise and vibration at high frequencies and machine foundations undergoing high frequency harmonic excitations are best studied using this method.

NISA is a leading FEA software addressing the Aerospace, Automotive, Power and Energy, Oil and Gas, Electronic Packaging, Biomedical and Civil Engineering industries for fast, accurate and comprehensive engineering analysis. NISA offers FEA solutions in the areas of:

  • Stress Analysis
  • Laminated Composite Analysis
  • Vibration Analysis
  • DFR
  • Seismic Analysis
  • Fatigue and Fracture Analysis
  • Optimization
  • Rotor Dynamics
  • Thermal Analysis
  • Computational Fluid Dynamics (CFD) Analysis
  • Printed Circuit Board (PCB) Analysis
  • Electromagnetic Analysis
  • Civil Structure Analysis and design
  • Motion and Linkage Analysis

The NISA Advanced Dynamics module has good analysis capabilities for transient, frequency response, random vibration, shock spectrum analysis and Direct Frequency Response (DFR) analysis to aid engineers in determining the integrity and suitability of designs.

Problem and Analysis

DFR problems mathematically results in a set of complex linear system of equations requiring very high computing power. In this study, we demonstrate the usage of Intel MKL solver (PARDISO™) for solution of this system of equations running on an Intel Core 2 Duo processor. We have compared the performance of NISA Finite element (FE) code when running with different number of threads. For analytical experimentation, a machine foundation supporting a rotating shaft is studied. The FE model comprises of 72684 degree of freedom (DOF) with 24,413 solid elements. Frequency range for analysis is selected as 10Hz - 750 Hz and 1% proportional damping is assumed. The system of equations is solved for every increment of 0.74 Hz.

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Finite Element Model of Machine Foundation


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Direct Frequency Response Graph

Software Tools Used:

  1. NISA Static/ Dynamic - Finite Element Analysis software
  2. Intel Visual Fortran 9.1™
  3. Intel Math kernel library
    PARDISO – Parallel Direct Sparse Solver

Hardware:

  • Intel® Core™ 2 Duo
  • 6300 @ 1.86 GHz
  • 1.98GB RAM

System:

  • Microsoft Widows XP Professional
  • Version 2002 SP2

Results:

Following table shows total solution time for different threads. The result with two threads enabled, is encouraging and is found to have an overall speed-up of 1.87 times over the single thread result.

Number of Threads Computation Time
1 118 Min
2 63 Min

The way forward with Intel Clustering Tools

The DFR technique lends itself nicely to Hybrid Clustering. In this approach the work of calculating the response (amplitude) of the structure for each frequency is done on a Symmetric Multi Processor (SMP) using OpenMP threads (used in MKL), while the range of frequency is distributed across different computing nodes using Intel MPI Library™. The Intel MPI library provides an efficient framework to distribute the workload in DFR problems on clusters of SMP’s, thus facilitating fast development, deployment and execution.”

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