MasterFrame: Dynamic Analysis

Natural Vibration

The Natural Vibration calculation determine the natural frequencies and the corresponding modal shapes of a structural model.

• Imports masses from load groups
• Results of natural frequencies and modal shapes in table an graphical format. The selected modal shape can be played as an animation
• Determines total modal mass and mass participation in the principal direction for each modal shapes

Force Profile and Steady State

Force Profile and Steady State calculations provide tools for dynamic analyses a structural model to time varying external loads, such as wind, impact or blast loading.

• Using Force Profile, any number of time-varying loads of any complexity can be defined in tabular form
• Define steady state forces, complete with phase angle, to simulate sinusoidal loading on a frame or any part of a frame to simulate machine borne vibration
• The calculation results min/max displacement or member end forces over the entire model, or displacement, velocity and acceleration for the selected node in any principal axes, or in precise instance time we can create a snapshot to get the displacements and members end forces for the entire structure
• Use snap-shots of displacements under steady-state or time dependent loading to derive member forces for use in the member design within the steel and concrete design modules
• Employ advanced numerical analysis techniques to accurately assess the accelerations of your structure

Vibration Design

Vibration Design can be used to determine the Response Factors of your structures according to the latest UK vibration design guidance and to assess the likely vibrational behaviour of floors.

• Assess the vibration response of part or whole of the structure based on the full model, including multi material structures
• Determine accelerations, response factors and vibration dose values
  
• Assess both flat slab construction and slab on beam type floors
  
• Assess structures such as floor plates, staircases, gym floors
• Facility to input a user defined Fourier series for analysis
  
• Utilise the latest UK vibration design guidance

Accelerations, response factors and vibration dose values are automatically calculated in accordance with the following UK design guidance:

• "A Design Guide for Footfall Induced Vibration of Structures", Wilford MR, Young P, The Concrete Centre.
• "Design of Floors for Vibration: A New Approach", Publication P354, Section 6, Smith AL, Hicks SJ, Devine PJ, The Steel Construction Institute (using the numerically sophisticated method, and not the simplified method of section 7)

The time-dependent Force Profile design and the Steady State design are based on the same mathematical methods of the above publications which are based on standard matrix analysis methods.

The Dynamic Module gives you a range of results which include:

• Root Mean Square acceleration, response factors and vibration dose values for both design in accordance with the advanced numerical methods of SCI P354 and the CCIP-016 Concrete Centre design guides (not using the limited and inferior simplified methods)
• Displacement, Velocity and Accelerations for input time-dependent and steady state loading
• Nodal displacement and member end forces
• Mass participation in the x-, y- and z-axes
• The natural frequencies of the structure

Results are displayed both graphically and in tabular form. Response factors can be displayed in coloured contour format, allowing you to visually assess the response of the structure under dynamic loading. Natural frequencies, force profile, and steady state loading can be animated to allow you to understand the way the structure responds to the applied loading.