Динамика двигателей внутренннего сгорания. Панов В.В - 7 стр.

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7
Ih^klZ\eyy agZq_gb_ \hkklZgZ\eb\Zxs_]h fhf_glZ ihemqZxl ijh
kl_cr__^bnn_j_gpbZevgh_mjZ\g_gb_djmlbevguodhe_[Zgbc
0c
dt
d
JJ
2
2
=ϕ+
ϕ
+
)(
i
. (9)
J_r_gb_ ^Zggh]h mjZ\g_gby iha\hey_l ihemqblv \ujZ`_gb_ fhf_glZ
bg_jpbbdhe_[exs_ckykbkl_fu
2
2
i
4
T
k
JJ
π
=+
, (10)
]^_T –i_jbh^dhe_[Zgbckbkl_fu
?keb ijb wdki_jbf_gl_ bkiulm_fh_ l_eh aZdj_ieyxl g_ihk-
j_^kl\_gghgZmijm]hfkl_j`g_lhJ
i
= 0.
Dhwnnbpb_gl`_kldhklbih^\_kZfh`gh\uqbkeblvihnhjfme_
l
GJ
c
p
=
, (11)
]^_
32
2
d
J
p
π
= -
iheyjgucfhf_glbg_jpbbkl_j`gy
dbl
–
^bZf_ljb^ebgZkl_j`gy
G
–
fh^mevk^\b]ZfZl_jbZeZkl_j`gy
Dhwnnbpb_gl`_kldhklbih^\_kZlZd`_fh`ghhij_^_eblvihnhjfme_
bkihevamygZc^_ggucwdki_jbf_glZevgufiml_fi_jbh^djmlbevguo
dhe_[Zgbcl_eZkwlZehgguffhf_glhfbg_jpbb
Qlh[u ba[_`Zlv g_h[oh^bfhklb \uqbke_gby beb hiulgh]h hij_-
^_e_gby dhwnnbpb_glZ k ijb hij_^_e_gbb fhf_glZ bg_jpbb l_eZ wdk-
i_jbf_gl ijh\h^yl lZd qlh[u wlhl dhwnnbpb_gl g_ \oh^be \ hdhg-
qZl_evgmxjZ[hqmxnhjfmem
>eywlh]hhiulijh\h^yl^\Z`^u<i_j\hfhiul_dih^\_kmijbdj_i
eyxl wlZehgl_ l_eh fhf_glbg_jpbb J
w
dhlhjh]hba\_kl_g b baf_jyxl
i_jbh^djmlbevguodhe_[ZgbcL
w
<_kwlZehgZ^he`_g[ulvijb[ebabl_ev
ghjZ\_g\_kmbkiulm_fh]hl_eZ
>eymijhs_gby\uqbke_gbc\dZq_kl\_wlZehgZh[uqghijbf_gyxll_
ehpbebg^jbq_kdhcnhjfufhf_glbg_jpbbdhlhjh]hhij_^_ey_lkydZd
2
2
w
mr
J =
. (12) 
    Ih^klZ\eyy agZq_gb_ \hkklZgZ\eb\Zxs_]h fhf_glZ ihemqZxl ijh
kl_cr__^bnn_j_gpbZevgh_mjZ\g_gb_djmlbevguodhe_[Zgbc
                                         d 2ϕ
                             (J + Ji )          + cϕ = 0 .                  (9)
                                         dt 2
    J_r_gb_ ^Zggh]h mjZ\g_gby iha\hey_l ihemqblv \ujZ`_gb_ fhf_glZ
bg_jpbbdhe_[exs_ckykbkl_fu
                                                k
                               J + Ji =                 T2,               (10)
                                                    2
                                            4π
]^_T –i_jbh^dhe_[Zgbckbkl_fu
     ?keb ijb wdki_jbf_gl_ bkiulm_fh_ l_eh aZdj_ieyxl g_ihk-
j_^kl\_gghgZmijm]hfkl_j`g_lhJi = 0.
     Dhwnnbpb_gl`_kldhklbih^\_kZfh`gh\uqbkeblvihnhjfme_
                                  GJ p
                               c=       ,                     (11)
                                     l
           πd 2
]^_ J p =      -iheyjgucfhf_glbg_jpbbkl_j`gy
            32
     dbl –^bZf_ljb^ebgZkl_j`gy
     G –fh^mevk^\b]ZfZl_jbZeZkl_j`gy
     Dhwnnbpb_gl`_kldhklbih^\_kZlZd`_fh`ghhij_^_eblvihnhjfme_
  bkihevamygZc^_ggucwdki_jbf_glZevgufiml_fi_jbh^djmlbevguo
dhe_[Zgbcl_eZkwlZehgguffhf_glhfbg_jpbb
     Qlh[u ba[_`Zlv g_h[oh^bfhklb \uqbke_gby beb hiulgh]h hij_-
^_e_gby dhwnnbpb_glZ k ijb hij_^_e_gbb fhf_glZ bg_jpbb l_eZ wdk-
i_jbf_gl ijh\h^yl lZd qlh[u wlhl dhwnnbpb_gl g_ \oh^be \ hdhg-
qZl_evgmxjZ[hqmxnhjfmem
     >eywlh]hhiulijh\h^yl^\Z`^u<i_j\hfhiul_dih^\_kmijbdj_i
eyxl wlZehg l_ l_eh fhf_gl bg_jpbb Jw dhlhjh]h ba\_kl_g b baf_jyxl
i_jbh^djmlbevguodhe_[ZgbcLw<_kwlZehgZ^he`_g[ulvijb[ebabl_ev
ghjZ\_g\_kmbkiulm_fh]hl_eZ
    >eymijhs_gby\uqbke_gbc\dZq_kl\_wlZehgZh[uqghijbf_gyxll_
ehpbebg^jbq_kdhcnhjfufhf_glbg_jpbbdhlhjh]hhij_^_ey_lkydZd
                                              mr 2
                                         Jw =      .                        (12)
                                               2
                                                                                 7

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