The bulk modulus of elastomeric materials such as natural rubber is an extremely
difficult property to measure since the bulk modulus is several orders of magnitude
larger than their shear modulus, so that the material will deform only in shear if at
all possible. In most applications the deformation is assumed to be a constant volume
one and the material is assumed to be incompressible, but there are situations
where the compressibility of the material can play an important role and
where it is necessary to have an accurate estimate of the bulk modulus. It
will be shown in this paper that one way to determine the bulk modulus is
to use the measured vertical stiffness of bearings used as seismic isolators
to estimate its value. Seismic isolators are usually made with compounds,
known as high damping rubbers, that are nonlinear and have large hysteresis,
which can make interpretation of the measurements difficult; but in some
cases the compounds used, for example linear natural rubber, have almost
no hysteresis and are very linear in shear up to very large shear strains.
In this paper, test results from a particular seismic isolation project were
analyzed using the theory of bearing mechanics to provide an estimate of the
bulk modulus for this particular compound and to show how, if tests on
bearings with other compounds are available, to interpret the data for this
purpose.
Keywords
rubber, elastomeric bearings, bulk modulus, base isolation,
shape factor