LMX2582: How to improve the output signal quality in vibration condition?

Tool/software:

dears,

my customer uses LMX2582 for RU application, they got clean 76.8MHz differential clock signal from LMK04826, then turn it to single end clock signal by CDCLVC1310 and input to LMX2582, then LMX2582 output 584.32MHZ clock signal and then sent to mixer, the below is the signal chain:

the customer conducted vibration test and found the phase noise of the LMX2582 output signal got to be bad when the vibration acceleration speed higher than 10g:

1. when the acceleration speed is 0g, the input and output signals  of LMX2582 is ok

2. When the vibration acceleration speed up to 10g, the phase noise of the LMX2582 output signal starts to deteriorate.

3. When the vibration acceleration speed up to 20g, the phase noise of the LMX2582 output signal gets to be very bad.

I upload both the input and output spectrum diagram at different acceleration speeds above FYI. Would you please help to share your comments how the phase noise deterioration happens and how could we improve the signal quality in celebration vibration condition? 

thanks a lot!