Structural Analysis Photo courtesy of Institute of and Research, Leibniz Universität Hannover, Germany Leibniz Universität Hannover, Research, Photo courtesy of Institute Dynamics and Vibration

m+p Analyzer’s structural analysis package provides • Multiple Degree of Freedom (MDOF) analysis a complete set of tools for observing, analyzing and • Circle fit wizard to review and validate FRF data and documenting the vibrational behaviour of machines and mode shapes mechanical structures. Different software modules cover a • Operational modal analysis (OMA) wide range of techniques including impact testing, shaker • Modal model validation (MAC, MPD, MPC, MOV, MIF) measurements (SIMO and MIMO), experimental and • Polyreference Time Domain algorithm (PTD/PolyTime) operational modal analysis, ground vibration testing, • Polyr eference Time Domain Plus algorithm (PTD+/ operating deflection shape analysis, and modal model Polytime+) validation. • Polyr eference Least-Squares Complex Frequency domain algorithm (p-LSCF/Polyfreq) The standard structural dynamics package includes: • Multiple Input/Multiple Output (MIMO) analysis including • Impact testing using a modal hammer multi-source outputs • Creation of component-based geometries • Swept and stepped sine analysis • Operating Deflection Shape (ODS) analysis • Ground vibration testing (GVT) with Optional software modules are available to cover the most Tuning (NMT) demanding and advanced modal analysis applications: • Interface to FEMtools for Structural Dynamics • Single Degree of Freedom (SDOF) analysis Modification (SDM) analysis

8 m+p international [email protected] Structural Analysis

YOUR BENEFITS

• Fully integrated measurement and modal analysis for efficient testing • Wizard guidance simplifies process for all experience levels • Advanced Guided Impact Hammer wizard for single operator hands-free operation • ODS wizard for rapid assessment of vibration shapes • MDOF analysis using the latest algorithms that handle the widest range of applications • Modal Model Validation to check modal data and compare with FE shapes and data • Integrated signal sources for multi-shaker excitation • MIMO analysis to resolve coincident modes • Normal Mode Tuning with search and tune using live mode shape animations and MIF

Geometries and Animation

m+p Analyzer makes it simple to create a model of the structure’s geometry and animate its modal deflection shapes. The geometry editor allows intuitive creation of geometry models. Substructures, nodes, connecting lines and triangles can be entered by keyboard, pasted from a spreadsheet or imported from CAD programs via STL file format.

Impact Testing

Our Advanced Guided Impact Hammer wizard assists the Geometry creation user in running impact tests. In a step by step wizard, the user is guided to define all acquisition settings which makes it easy to set everything correctly even for inexperienced users. Predefining the points to measure enables a single operator hands-free operation which is especially useful on large structures. Online display of the coherence function, double impact warnings and a predefined customizable layout complete the impact testing capabilities of m+p Analyzer.

Impact hammer test of a rearview mirror Modal analysis on a train carriage Photo courtesy of SMR Automotive, United Kingdom Germany Photo courtesy of Bombardier,

9 m+p international [email protected] Structural Analysis Photo courtesy of Narec, United Kingdom Photo courtesy of Narec,

Wind turbine blade testing

Shaker Tests make accurate estimates of all analysis options. The Multiple Degree of Freedom (MDOF) wizard, for example, m+p Analyzer supports several different source modes (e.g. handles the most sophisticated modal analysis tasks, such random, burst random, swept sine, stepped sine, arbitrary as detecting repeated or closely spaced modes. etc.) for shaker excitation. Multiple sources are available as well as open- and closed-loop amplitude control. Industry-proven time and frequency domain curve fitting algorithms with wizard-guided operation simplify result Random and burst random modes are the methods of interpretation. The time domain method is optimized for choice when broadband excitation e.g. in modal testing is lightly damped structures and can also be enhanced by required. They offer the possibility of exciting the structure the optional PTD+ algorithm to filter spurious modes. The with uncorrelated signals at different exciter locations using frequency domain algorithm is optimized for more heavily the MIMO capabilities of m+p Analyzer. Swept and stepped damped structures. All methods include clear stabilization sine can be used for single- or multi-shaker excitation of diagrams and synthesized FRFs for optimum analysis. Mean- larger structures when high input powers are required. A Phase-Deviation (MPD), Mean-Phase-Correlation (MPC), typical application of stepped sine testing in the space and Mode-Overcomplexity-Value (MOV) and Mode-Indicator- aircraft industry is ground vibration testing also known as Function (MIF) are additional measures that offer valuable normal mode tuning. Arbitrary source mode allows the clues to the quality of the extracted modal parameters. replay of recorded or synthesized excitation signals. Modal model validation is used for mode comparisons between different tests or between tests and FE analysis Modal Analysis results. The Modal Assurance Criterion (MAC) is an effective way to compare the resulting mode shapes and check The experimental modal data is obtained by curve fitting a their agreement. set of Frequency Response Function (FRF) measurements. Wizards take you through a simple series of steps to The m+p Analyzer software also features operational complete the acquisition and analysis process and also modal analysis based on response signals without the

10 m+p international [email protected] Structural Analysis Photo courtesy of NASA, USA Photo courtesy of INSA-Rennes, France

Rocket evaluation Modal analysis on a parallel robot

need to measure the excitation. Assuming broadband modal tests, ground vibration tests are used for further white-noise excitation this technique can be applied inspection of critical modes. Normal Mode Tuning uses wherever natural excitations are present but excitation several shakers to force the structure to vibrate in one forces cannot be measured. single mode of vibration. By interactive tuning with online displays of mode shape, MIF, etc., the shaker excitation frequency and amplitudes are optimized. The Mode Ground Vibration Testing Indicator Function (MIF) indicates when the optimal tuning is reached. In testing space and aircraft structures, ground vibration testing is a common method. In addition to conventional

Structural data analysis tools Flexible derivation of ODS and mode shape animation

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