ESDU 91001:2012

$89.05

Structural Parameters Used in Response Calculations Estimation of Numerical Values

Published By	Publication Date	Number of Pages
ESDU	2012-03	36

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Category: ESDU

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Description

ESDU 91001 gives background information and guidance on the
values for various quantities needed in calculating the response of
flexible structures. Axes systems used are defined and the equation
of motion for a single mode in translational or rotational
vibration is stated. Likely inaccuracies to be met in estimated or
full-scale measured values of natural frequency, structural damping
and generalised mass are suggested. Natural frequencies are given
for the first four modes of vibration of single- and multi-span
beams and the simple equations for the frequency of the fundamental
mode of vibration of a tall building is given, with an indication
of the likely error. A similar equation is also provided for
stacks, towers and columns. Treatment of additional masses and
non-uniform mass is considered. Mode shape functions are provided
for cantilever and single- and two-span structures in various
translational modes, for single-support structures in rotation
about the support, and for a cantilever in the first torsional
mode. Typical values of structural damping are tabulated for
stacks, towers and tubes. Equations of mode-generalised mass and
inertia are stated, and generalised masses in bending are listed
for buildings and single-span beams. Typical ranges of structural
density are shown graphically for stacks, and stated for buildings,
and a table gives area and moment of area for a wide range of
section shapes.